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Finding the Fourth Proportional to 4,565.92, 6,861.84 and 4,449.28

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Solution

The fourth proportional to 4,565.92, 6,861.84 and 4,449.28 is: 6,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.92 : 6,861.84 = 4,449.28 : x
  2. Step 2: Convert to fraction form
    4,565.92/6,861.84 = 4,449.28/x
  3. Step 3: Cross multiply
    4,565.92x = 6,861.84 × 4,449.28
  4. Step 4: Simplify right side
    4,565.92x = 30,530,247.48
  5. Step 5: Solve for x
    x = 30,530,247.48/4,565.92
  6. Step 6: Final answer
    x = 6,686.55

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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.