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Finding the Fourth Proportional to 3,706.59, 5,114.54 and 2,380.47

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Solution

The fourth proportional to 3,706.59, 5,114.54 and 2,380.47 is: 3,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.59 : 5,114.54 = 2,380.47 : x
  2. Step 2: Convert to fraction form
    3,706.59/5,114.54 = 2,380.47/x
  3. Step 3: Cross multiply
    3,706.59x = 5,114.54 × 2,380.47
  4. Step 4: Simplify right side
    3,706.59x = 12,174,997.13
  5. Step 5: Solve for x
    x = 12,174,997.13/3,706.59
  6. Step 6: Final answer
    x = 3,284.69

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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.