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Finding the Fourth Proportional to 5,890.38, 8,132.36 and 4,474.14

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Solution

The fourth proportional to 5,890.38, 8,132.36 and 4,474.14 is: 6,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.38 : 8,132.36 = 4,474.14 : x
  2. Step 2: Convert to fraction form
    5,890.38/8,132.36 = 4,474.14/x
  3. Step 3: Cross multiply
    5,890.38x = 8,132.36 × 4,474.14
  4. Step 4: Simplify right side
    5,890.38x = 36,385,317.17
  5. Step 5: Solve for x
    x = 36,385,317.17/5,890.38
  6. Step 6: Final answer
    x = 6,177.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.