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Finding the Fourth Proportional to 5,972.56, 8,233.28 and 5,129.20

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Solution

The fourth proportional to 5,972.56, 8,233.28 and 5,129.20 is: 7,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.56 : 8,233.28 = 5,129.20 : x
  2. Step 2: Convert to fraction form
    5,972.56/8,233.28 = 5,129.20/x
  3. Step 3: Cross multiply
    5,972.56x = 8,233.28 × 5,129.20
  4. Step 4: Simplify right side
    5,972.56x = 42,230,139.78
  5. Step 5: Solve for x
    x = 42,230,139.78/5,972.56
  6. Step 6: Final answer
    x = 7,070.69

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