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Finding the Fourth Proportional to 5,197.32, 7,174.98 and 3,627

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Solution

The fourth proportional to 5,197.32, 7,174.98 and 3,627 is: 5,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.32 : 7,174.98 = 3,627 : x
  2. Step 2: Convert to fraction form
    5,197.32/7,174.98 = 3,627/x
  3. Step 3: Cross multiply
    5,197.32x = 7,174.98 × 3,627
  4. Step 4: Simplify right side
    5,197.32x = 26,023,652.46
  5. Step 5: Solve for x
    x = 26,023,652.46/5,197.32
  6. Step 6: Final answer
    x = 5,007.13

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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.