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Finding the Fourth Proportional to 4,308.64, 6,463.52 and 1,385.92

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Solution

The fourth proportional to 4,308.64, 6,463.52 and 1,385.92 is: 2,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.64 : 6,463.52 = 1,385.92 : x
  2. Step 2: Convert to fraction form
    4,308.64/6,463.52 = 1,385.92/x
  3. Step 3: Cross multiply
    4,308.64x = 6,463.52 × 1,385.92
  4. Step 4: Simplify right side
    4,308.64x = 8,957,921.64
  5. Step 5: Solve for x
    x = 8,957,921.64/4,308.64
  6. Step 6: Final answer
    x = 2,079.06

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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.