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Finding the Fourth Proportional to 5,452.32, 7,524.10 and 5,006

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Solution

The fourth proportional to 5,452.32, 7,524.10 and 5,006 is: 6,908.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.32 : 7,524.10 = 5,006 : x
  2. Step 2: Convert to fraction form
    5,452.32/7,524.10 = 5,006/x
  3. Step 3: Cross multiply
    5,452.32x = 7,524.10 × 5,006
  4. Step 4: Simplify right side
    5,452.32x = 37,665,644.60
  5. Step 5: Solve for x
    x = 37,665,644.60/5,452.32
  6. Step 6: Final answer
    x = 6,908.19

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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.