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Finding the Fourth Proportional to 5,225.46, 7,211.12 and 2,987.38

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Solution

The fourth proportional to 5,225.46, 7,211.12 and 2,987.38 is: 4,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.46 : 7,211.12 = 2,987.38 : x
  2. Step 2: Convert to fraction form
    5,225.46/7,211.12 = 2,987.38/x
  3. Step 3: Cross multiply
    5,225.46x = 7,211.12 × 2,987.38
  4. Step 4: Simplify right side
    5,225.46x = 21,542,319.61
  5. Step 5: Solve for x
    x = 21,542,319.61/5,225.46
  6. Step 6: Final answer
    x = 4,122.57

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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.