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Finding the Fourth Proportional to 5,373.89, 7,414.69 and 3,134.50

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Solution

The fourth proportional to 5,373.89, 7,414.69 and 3,134.50 is: 4,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373.89 : 7,414.69 = 3,134.50 : x
  2. Step 2: Convert to fraction form
    5,373.89/7,414.69 = 3,134.50/x
  3. Step 3: Cross multiply
    5,373.89x = 7,414.69 × 3,134.50
  4. Step 4: Simplify right side
    5,373.89x = 23,241,325.31
  5. Step 5: Solve for x
    x = 23,241,325.31/5,373.89
  6. Step 6: Final answer
    x = 4,324.86

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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.