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Finding the Fourth Proportional to 3,706.68, 5,114.81 and 2,214.39

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Solution

The fourth proportional to 3,706.68, 5,114.81 and 2,214.39 is: 3,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.68 : 5,114.81 = 2,214.39 : x
  2. Step 2: Convert to fraction form
    3,706.68/5,114.81 = 2,214.39/x
  3. Step 3: Cross multiply
    3,706.68x = 5,114.81 × 2,214.39
  4. Step 4: Simplify right side
    3,706.68x = 11,326,173.04
  5. Step 5: Solve for x
    x = 11,326,173.04/3,706.68
  6. Step 6: Final answer
    x = 3,055.61

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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.