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Finding the Fourth Proportional to 3,700.71, 5,107.14 and 2,128.80

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Solution

The fourth proportional to 3,700.71, 5,107.14 and 2,128.80 is: 2,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.71 : 5,107.14 = 2,128.80 : x
  2. Step 2: Convert to fraction form
    3,700.71/5,107.14 = 2,128.80/x
  3. Step 3: Cross multiply
    3,700.71x = 5,107.14 × 2,128.80
  4. Step 4: Simplify right side
    3,700.71x = 10,872,079.63
  5. Step 5: Solve for x
    x = 10,872,079.63/3,700.71
  6. Step 6: Final answer
    x = 2,937.84

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