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Finding the Fourth Proportional to 5,972.80, 8,242.56 and 3,320.24

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Solution

The fourth proportional to 5,972.80, 8,242.56 and 3,320.24 is: 4,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.80 : 8,242.56 = 3,320.24 : x
  2. Step 2: Convert to fraction form
    5,972.80/8,242.56 = 3,320.24/x
  3. Step 3: Cross multiply
    5,972.80x = 8,242.56 × 3,320.24
  4. Step 4: Simplify right side
    5,972.80x = 27,367,277.41
  5. Step 5: Solve for x
    x = 27,367,277.41/5,972.80
  6. Step 6: Final answer
    x = 4,581.98

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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.