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Finding the Fourth Proportional to 5,644.74, 8,469.52 and 3,802.80

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Solution

The fourth proportional to 5,644.74, 8,469.52 and 3,802.80 is: 5,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.74 : 8,469.52 = 3,802.80 : x
  2. Step 2: Convert to fraction form
    5,644.74/8,469.52 = 3,802.80/x
  3. Step 3: Cross multiply
    5,644.74x = 8,469.52 × 3,802.80
  4. Step 4: Simplify right side
    5,644.74x = 32,207,890.66
  5. Step 5: Solve for x
    x = 32,207,890.66/5,644.74
  6. Step 6: Final answer
    x = 5,705.82

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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.