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Finding the Fourth Proportional to 4,102.20, 6,158.10 and 4,073.40

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Solution

The fourth proportional to 4,102.20, 6,158.10 and 4,073.40 is: 6,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.20 : 6,158.10 = 4,073.40 : x
  2. Step 2: Convert to fraction form
    4,102.20/6,158.10 = 4,073.40/x
  3. Step 3: Cross multiply
    4,102.20x = 6,158.10 × 4,073.40
  4. Step 4: Simplify right side
    4,102.20x = 25,084,404.54
  5. Step 5: Solve for x
    x = 25,084,404.54/4,102.20
  6. Step 6: Final answer
    x = 6,114.87

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