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Finding the Fourth Proportional to 3,706.76, 5,114.49 and 2,214.44

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Solution

The fourth proportional to 3,706.76, 5,114.49 and 2,214.44 is: 3,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.76 : 5,114.49 = 2,214.44 : x
  2. Step 2: Convert to fraction form
    3,706.76/5,114.49 = 2,214.44/x
  3. Step 3: Cross multiply
    3,706.76x = 5,114.49 × 2,214.44
  4. Step 4: Simplify right side
    3,706.76x = 11,325,705.66
  5. Step 5: Solve for x
    x = 11,325,705.66/3,706.76
  6. Step 6: Final answer
    x = 3,055.42

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.