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Finding the Fourth Proportional to 3,967.20, 5,940 and 2,232.72

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Solution

The fourth proportional to 3,967.20, 5,940 and 2,232.72 is: 3,343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.20 : 5,940 = 2,232.72 : x
  2. Step 2: Convert to fraction form
    3,967.20/5,940 = 2,232.72/x
  3. Step 3: Cross multiply
    3,967.20x = 5,940 × 2,232.72
  4. Step 4: Simplify right side
    3,967.20x = 13,262,356.80
  5. Step 5: Solve for x
    x = 13,262,356.80/3,967.20
  6. Step 6: Final answer
    x = 3,343.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.