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Finding the Fourth Proportional to 3,710.85, 5,564.24 and 1,517.77

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Solution

The fourth proportional to 3,710.85, 5,564.24 and 1,517.77 is: 2,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.85 : 5,564.24 = 1,517.77 : x
  2. Step 2: Convert to fraction form
    3,710.85/5,564.24 = 1,517.77/x
  3. Step 3: Cross multiply
    3,710.85x = 5,564.24 × 1,517.77
  4. Step 4: Simplify right side
    3,710.85x = 8,445,236.54
  5. Step 5: Solve for x
    x = 8,445,236.54/3,710.85
  6. Step 6: Final answer
    x = 2,275.82

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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.