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Finding the Fourth Proportional to 5,972.56, 8,242.14 and 3,319.99

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Solution

The fourth proportional to 5,972.56, 8,242.14 and 3,319.99 is: 4,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.56 : 8,242.14 = 3,319.99 : x
  2. Step 2: Convert to fraction form
    5,972.56/8,242.14 = 3,319.99/x
  3. Step 3: Cross multiply
    5,972.56x = 8,242.14 × 3,319.99
  4. Step 4: Simplify right side
    5,972.56x = 27,363,822.38
  5. Step 5: Solve for x
    x = 27,363,822.38/5,972.56
  6. Step 6: Final answer
    x = 4,581.59

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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.