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Finding the Fourth Proportional to 3,710.44, 5,565.71 and 1,517.64

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Solution

The fourth proportional to 3,710.44, 5,565.71 and 1,517.64 is: 2,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.44 : 5,565.71 = 1,517.64 : x
  2. Step 2: Convert to fraction form
    3,710.44/5,565.71 = 1,517.64/x
  3. Step 3: Cross multiply
    3,710.44x = 5,565.71 × 1,517.64
  4. Step 4: Simplify right side
    3,710.44x = 8,446,744.12
  5. Step 5: Solve for x
    x = 8,446,744.12/3,710.44
  6. Step 6: Final answer
    x = 2,276.48

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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.