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Finding the Fourth Proportional to 4,469.61, 6,702.26 and 1,349.04

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Solution

The fourth proportional to 4,469.61, 6,702.26 and 1,349.04 is: 2,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.61 : 6,702.26 = 1,349.04 : x
  2. Step 2: Convert to fraction form
    4,469.61/6,702.26 = 1,349.04/x
  3. Step 3: Cross multiply
    4,469.61x = 6,702.26 × 1,349.04
  4. Step 4: Simplify right side
    4,469.61x = 9,041,610.09
  5. Step 5: Solve for x
    x = 9,041,610.09/4,469.61
  6. Step 6: Final answer
    x = 2,022.91

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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.