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Finding the Fourth Proportional to 3,736.61, 5,156.31 and 2,057.69

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Solution

The fourth proportional to 3,736.61, 5,156.31 and 2,057.69 is: 2,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.61 : 5,156.31 = 2,057.69 : x
  2. Step 2: Convert to fraction form
    3,736.61/5,156.31 = 2,057.69/x
  3. Step 3: Cross multiply
    3,736.61x = 5,156.31 × 2,057.69
  4. Step 4: Simplify right side
    3,736.61x = 10,610,092.70
  5. Step 5: Solve for x
    x = 10,610,092.70/3,736.61
  6. Step 6: Final answer
    x = 2,839.50

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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.