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Finding the Fourth Proportional to 5,402.16, 8,098.92 and 2,326.32

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Solution

The fourth proportional to 5,402.16, 8,098.92 and 2,326.32 is: 3,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.16 : 8,098.92 = 2,326.32 : x
  2. Step 2: Convert to fraction form
    5,402.16/8,098.92 = 2,326.32/x
  3. Step 3: Cross multiply
    5,402.16x = 8,098.92 × 2,326.32
  4. Step 4: Simplify right side
    5,402.16x = 18,840,679.57
  5. Step 5: Solve for x
    x = 18,840,679.57/5,402.16
  6. Step 6: Final answer
    x = 3,487.62

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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.