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Finding the Fourth Proportional to 4,865.40, 6,711.90 and 4,202.04

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Solution

The fourth proportional to 4,865.40, 6,711.90 and 4,202.04 is: 5,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.40 : 6,711.90 = 4,202.04 : x
  2. Step 2: Convert to fraction form
    4,865.40/6,711.90 = 4,202.04/x
  3. Step 3: Cross multiply
    4,865.40x = 6,711.90 × 4,202.04
  4. Step 4: Simplify right side
    4,865.40x = 28,203,672.28
  5. Step 5: Solve for x
    x = 28,203,672.28/4,865.40
  6. Step 6: Final answer
    x = 5,796.78

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