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Finding the Fourth Proportional to 4,165.65, 6,241.46 and 2,517.17

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Solution

The fourth proportional to 4,165.65, 6,241.46 and 2,517.17 is: 3,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.65 : 6,241.46 = 2,517.17 : x
  2. Step 2: Convert to fraction form
    4,165.65/6,241.46 = 2,517.17/x
  3. Step 3: Cross multiply
    4,165.65x = 6,241.46 × 2,517.17
  4. Step 4: Simplify right side
    4,165.65x = 15,710,772.08
  5. Step 5: Solve for x
    x = 15,710,772.08/4,165.65
  6. Step 6: Final answer
    x = 3,771.51

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Why These Related Problems?

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