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Finding the Fourth Proportional to 5,648.10, 8,472.15 and 3,679.80

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Solution

The fourth proportional to 5,648.10, 8,472.15 and 3,679.80 is: 5,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.10 : 8,472.15 = 3,679.80 : x
  2. Step 2: Convert to fraction form
    5,648.10/8,472.15 = 3,679.80/x
  3. Step 3: Cross multiply
    5,648.10x = 8,472.15 × 3,679.80
  4. Step 4: Simplify right side
    5,648.10x = 31,175,817.57
  5. Step 5: Solve for x
    x = 31,175,817.57/5,648.10
  6. Step 6: Final answer
    x = 5,519.70

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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.