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Finding the Fourth Proportional to 4,538.16, 6,807.24 and 3,967.92

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Solution

The fourth proportional to 4,538.16, 6,807.24 and 3,967.92 is: 5,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.16 : 6,807.24 = 3,967.92 : x
  2. Step 2: Convert to fraction form
    4,538.16/6,807.24 = 3,967.92/x
  3. Step 3: Cross multiply
    4,538.16x = 6,807.24 × 3,967.92
  4. Step 4: Simplify right side
    4,538.16x = 27,010,583.74
  5. Step 5: Solve for x
    x = 27,010,583.74/4,538.16
  6. Step 6: Final answer
    x = 5,951.88

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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.