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Finding the Fourth Proportional to 3,723.68, 5,142.84 and 2,398.16

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Solution

The fourth proportional to 3,723.68, 5,142.84 and 2,398.16 is: 3,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.68 : 5,142.84 = 2,398.16 : x
  2. Step 2: Convert to fraction form
    3,723.68/5,142.84 = 2,398.16/x
  3. Step 3: Cross multiply
    3,723.68x = 5,142.84 × 2,398.16
  4. Step 4: Simplify right side
    3,723.68x = 12,333,353.17
  5. Step 5: Solve for x
    x = 12,333,353.17/3,723.68
  6. Step 6: Final answer
    x = 3,312.14

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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.