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Finding the Fourth Proportional to 3,962.68, 5,943.42 and 2,497.40

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Solution

The fourth proportional to 3,962.68, 5,943.42 and 2,497.40 is: 3,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.68 : 5,943.42 = 2,497.40 : x
  2. Step 2: Convert to fraction form
    3,962.68/5,943.42 = 2,497.40/x
  3. Step 3: Cross multiply
    3,962.68x = 5,943.42 × 2,497.40
  4. Step 4: Simplify right side
    3,962.68x = 14,843,097.11
  5. Step 5: Solve for x
    x = 14,843,097.11/3,962.68
  6. Step 6: Final answer
    x = 3,745.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.