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Finding the Fourth Proportional to 3,710.53, 5,566.75 and 2,734.97

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Solution

The fourth proportional to 3,710.53, 5,566.75 and 2,734.97 is: 4,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.53 : 5,566.75 = 2,734.97 : x
  2. Step 2: Convert to fraction form
    3,710.53/5,566.75 = 2,734.97/x
  3. Step 3: Cross multiply
    3,710.53x = 5,566.75 × 2,734.97
  4. Step 4: Simplify right side
    3,710.53x = 15,224,867.27
  5. Step 5: Solve for x
    x = 15,224,867.27/3,710.53
  6. Step 6: Final answer
    x = 4,103.15

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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.