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Finding the Fourth Proportional to 5,614.64, 8,416.32 and 3,150.56

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Solution

The fourth proportional to 5,614.64, 8,416.32 and 3,150.56 is: 4,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.64 : 8,416.32 = 3,150.56 : x
  2. Step 2: Convert to fraction form
    5,614.64/8,416.32 = 3,150.56/x
  3. Step 3: Cross multiply
    5,614.64x = 8,416.32 × 3,150.56
  4. Step 4: Simplify right side
    5,614.64x = 26,516,121.14
  5. Step 5: Solve for x
    x = 26,516,121.14/5,614.64
  6. Step 6: Final answer
    x = 4,722.68

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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.