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Finding the Fourth Proportional to 6,232.24, 8,591.64 and 4,463.20

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Solution

The fourth proportional to 6,232.24, 8,591.64 and 4,463.20 is: 6,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.24 : 8,591.64 = 4,463.20 : x
  2. Step 2: Convert to fraction form
    6,232.24/8,591.64 = 4,463.20/x
  3. Step 3: Cross multiply
    6,232.24x = 8,591.64 × 4,463.20
  4. Step 4: Simplify right side
    6,232.24x = 38,346,207.65
  5. Step 5: Solve for x
    x = 38,346,207.65/6,232.24
  6. Step 6: Final answer
    x = 6,152.88

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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.