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Finding the Fourth Proportional to 3,937.50, 5,434.29 and 2,539.98

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Solution

The fourth proportional to 3,937.50, 5,434.29 and 2,539.98 is: 3,505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.50 : 5,434.29 = 2,539.98 : x
  2. Step 2: Convert to fraction form
    3,937.50/5,434.29 = 2,539.98/x
  3. Step 3: Cross multiply
    3,937.50x = 5,434.29 × 2,539.98
  4. Step 4: Simplify right side
    3,937.50x = 13,802,987.91
  5. Step 5: Solve for x
    x = 13,802,987.91/3,937.50
  6. Step 6: Final answer
    x = 3,505.52

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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.