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Finding the Fourth Proportional to 5,626.53, 8,424.61 and 3,773.66

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Solution

The fourth proportional to 5,626.53, 8,424.61 and 3,773.66 is: 5,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.53 : 8,424.61 = 3,773.66 : x
  2. Step 2: Convert to fraction form
    5,626.53/8,424.61 = 3,773.66/x
  3. Step 3: Cross multiply
    5,626.53x = 8,424.61 × 3,773.66
  4. Step 4: Simplify right side
    5,626.53x = 31,791,562.22
  5. Step 5: Solve for x
    x = 31,791,562.22/5,626.53
  6. Step 6: Final answer
    x = 5,650.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.