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Finding the Fourth Proportional to 4,161.60, 6,242.16 and 2,517.70

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Solution

The fourth proportional to 4,161.60, 6,242.16 and 2,517.70 is: 3,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.60 : 6,242.16 = 2,517.70 : x
  2. Step 2: Convert to fraction form
    4,161.60/6,242.16 = 2,517.70/x
  3. Step 3: Cross multiply
    4,161.60x = 6,242.16 × 2,517.70
  4. Step 4: Simplify right side
    4,161.60x = 15,715,886.23
  5. Step 5: Solve for x
    x = 15,715,886.23/4,161.60
  6. Step 6: Final answer
    x = 3,776.40

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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.