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Finding the Fourth Proportional to 4,113.60, 6,170.40 and 2,882.40

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Solution

The fourth proportional to 4,113.60, 6,170.40 and 2,882.40 is: 4,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.60 : 6,170.40 = 2,882.40 : x
  2. Step 2: Convert to fraction form
    4,113.60/6,170.40 = 2,882.40/x
  3. Step 3: Cross multiply
    4,113.60x = 6,170.40 × 2,882.40
  4. Step 4: Simplify right side
    4,113.60x = 17,785,560.96
  5. Step 5: Solve for x
    x = 17,785,560.96/4,113.60
  6. Step 6: Final answer
    x = 4,323.60

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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.