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Finding the Fourth Proportional to 5,452.38, 7,530.57 and 3,966.93

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Solution

The fourth proportional to 5,452.38, 7,530.57 and 3,966.93 is: 5,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.38 : 7,530.57 = 3,966.93 : x
  2. Step 2: Convert to fraction form
    5,452.38/7,530.57 = 3,966.93/x
  3. Step 3: Cross multiply
    5,452.38x = 7,530.57 × 3,966.93
  4. Step 4: Simplify right side
    5,452.38x = 29,873,244.05
  5. Step 5: Solve for x
    x = 29,873,244.05/5,452.38
  6. Step 6: Final answer
    x = 5,478.94

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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.