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Finding the Fourth Proportional to 5,373.38, 7,414.62 and 3,135

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Solution

The fourth proportional to 5,373.38, 7,414.62 and 3,135 is: 4,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373.38 : 7,414.62 = 3,135 : x
  2. Step 2: Convert to fraction form
    5,373.38/7,414.62 = 3,135/x
  3. Step 3: Cross multiply
    5,373.38x = 7,414.62 × 3,135
  4. Step 4: Simplify right side
    5,373.38x = 23,244,833.70
  5. Step 5: Solve for x
    x = 23,244,833.70/5,373.38
  6. Step 6: Final answer
    x = 4,325.92

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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.