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Finding the Fourth Proportional to 5,697.32, 8,540.10 and 2,411.24

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Solution

The fourth proportional to 5,697.32, 8,540.10 and 2,411.24 is: 3,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.32 : 8,540.10 = 2,411.24 : x
  2. Step 2: Convert to fraction form
    5,697.32/8,540.10 = 2,411.24/x
  3. Step 3: Cross multiply
    5,697.32x = 8,540.10 × 2,411.24
  4. Step 4: Simplify right side
    5,697.32x = 20,592,230.72
  5. Step 5: Solve for x
    x = 20,592,230.72/5,697.32
  6. Step 6: Final answer
    x = 3,614.37

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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.