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Finding the Fourth Proportional to 3,709.64, 5,564.46 and 1,517.88

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Solution

The fourth proportional to 3,709.64, 5,564.46 and 1,517.88 is: 2,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.64 : 5,564.46 = 1,517.88 : x
  2. Step 2: Convert to fraction form
    3,709.64/5,564.46 = 1,517.88/x
  3. Step 3: Cross multiply
    3,709.64x = 5,564.46 × 1,517.88
  4. Step 4: Simplify right side
    3,709.64x = 8,446,182.54
  5. Step 5: Solve for x
    x = 8,446,182.54/3,709.64
  6. Step 6: Final answer
    x = 2,276.82

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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.