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Finding the Fourth Proportional to 5,650.53, 7,797.01 and 3,132.62

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Solution

The fourth proportional to 5,650.53, 7,797.01 and 3,132.62 is: 4,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.53 : 7,797.01 = 3,132.62 : x
  2. Step 2: Convert to fraction form
    5,650.53/7,797.01 = 3,132.62/x
  3. Step 3: Cross multiply
    5,650.53x = 7,797.01 × 3,132.62
  4. Step 4: Simplify right side
    5,650.53x = 24,425,022.65
  5. Step 5: Solve for x
    x = 24,425,022.65/5,650.53
  6. Step 6: Final answer
    x = 4,322.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.