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Finding the Fourth Proportional to 3,710.78, 5,563.74 and 1,517.30

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Solution

The fourth proportional to 3,710.78, 5,563.74 and 1,517.30 is: 2,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.78 : 5,563.74 = 1,517.30 : x
  2. Step 2: Convert to fraction form
    3,710.78/5,563.74 = 1,517.30/x
  3. Step 3: Cross multiply
    3,710.78x = 5,563.74 × 1,517.30
  4. Step 4: Simplify right side
    3,710.78x = 8,441,862.70
  5. Step 5: Solve for x
    x = 8,441,862.70/3,710.78
  6. Step 6: Final answer
    x = 2,274.96

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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.