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Finding the Fourth Proportional to 5,648.48, 8,474.14 and 2,876.66

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Solution

The fourth proportional to 5,648.48, 8,474.14 and 2,876.66 is: 4,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.48 : 8,474.14 = 2,876.66 : x
  2. Step 2: Convert to fraction form
    5,648.48/8,474.14 = 2,876.66/x
  3. Step 3: Cross multiply
    5,648.48x = 8,474.14 × 2,876.66
  4. Step 4: Simplify right side
    5,648.48x = 24,377,219.57
  5. Step 5: Solve for x
    x = 24,377,219.57/5,648.48
  6. Step 6: Final answer
    x = 4,315.71

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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.