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Finding the Fourth Proportional to 4,468.97, 6,702.08 and 3,091.16

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Solution

The fourth proportional to 4,468.97, 6,702.08 and 3,091.16 is: 4,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.97 : 6,702.08 = 3,091.16 : x
  2. Step 2: Convert to fraction form
    4,468.97/6,702.08 = 3,091.16/x
  3. Step 3: Cross multiply
    4,468.97x = 6,702.08 × 3,091.16
  4. Step 4: Simplify right side
    4,468.97x = 20,717,202.91
  5. Step 5: Solve for x
    x = 20,717,202.91/4,468.97
  6. Step 6: Final answer
    x = 4,635.79

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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.