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Finding the Fourth Proportional to 3,815.16, 5,721.66 and 1,734

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Solution

The fourth proportional to 3,815.16, 5,721.66 and 1,734 is: 2,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.16 : 5,721.66 = 1,734 : x
  2. Step 2: Convert to fraction form
    3,815.16/5,721.66 = 1,734/x
  3. Step 3: Cross multiply
    3,815.16x = 5,721.66 × 1,734
  4. Step 4: Simplify right side
    3,815.16x = 9,921,358.44
  5. Step 5: Solve for x
    x = 9,921,358.44/3,815.16
  6. Step 6: Final answer
    x = 2,600.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.