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Finding the Fourth Proportional to 3,892.50, 5,374.08 and 2,497.68

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Solution

The fourth proportional to 3,892.50, 5,374.08 and 2,497.68 is: 3,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.50 : 5,374.08 = 2,497.68 : x
  2. Step 2: Convert to fraction form
    3,892.50/5,374.08 = 2,497.68/x
  3. Step 3: Cross multiply
    3,892.50x = 5,374.08 × 2,497.68
  4. Step 4: Simplify right side
    3,892.50x = 13,422,732.13
  5. Step 5: Solve for x
    x = 13,422,732.13/3,892.50
  6. Step 6: Final answer
    x = 3,448.36

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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.