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Finding the Fourth Proportional to 5,155.52, 7,722.47 and 3,297.17

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Solution

The fourth proportional to 5,155.52, 7,722.47 and 3,297.17 is: 4,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.52 : 7,722.47 = 3,297.17 : x
  2. Step 2: Convert to fraction form
    5,155.52/7,722.47 = 3,297.17/x
  3. Step 3: Cross multiply
    5,155.52x = 7,722.47 × 3,297.17
  4. Step 4: Simplify right side
    5,155.52x = 25,462,323.96
  5. Step 5: Solve for x
    x = 25,462,323.96/5,155.52
  6. Step 6: Final answer
    x = 4,938.85

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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.