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Finding the Fourth Proportional to 4,134.01, 5,711.34 and 4,102.87

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Solution

The fourth proportional to 4,134.01, 5,711.34 and 4,102.87 is: 5,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.01 : 5,711.34 = 4,102.87 : x
  2. Step 2: Convert to fraction form
    4,134.01/5,711.34 = 4,102.87/x
  3. Step 3: Cross multiply
    4,134.01x = 5,711.34 × 4,102.87
  4. Step 4: Simplify right side
    4,134.01x = 23,432,861.94
  5. Step 5: Solve for x
    x = 23,432,861.94/4,134.01
  6. Step 6: Final answer
    x = 5,668.32

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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.