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Finding the Fourth Proportional to 4,523.92, 6,785.88 and 1,446.16

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Solution

The fourth proportional to 4,523.92, 6,785.88 and 1,446.16 is: 2,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.92 : 6,785.88 = 1,446.16 : x
  2. Step 2: Convert to fraction form
    4,523.92/6,785.88 = 1,446.16/x
  3. Step 3: Cross multiply
    4,523.92x = 6,785.88 × 1,446.16
  4. Step 4: Simplify right side
    4,523.92x = 9,813,468.22
  5. Step 5: Solve for x
    x = 9,813,468.22/4,523.92
  6. Step 6: Final answer
    x = 2,169.24

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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.