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Finding the Fourth Proportional to 3,184.97, 4,773.20 and 1,538.24

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Solution

The fourth proportional to 3,184.97, 4,773.20 and 1,538.24 is: 2,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.97 : 4,773.20 = 1,538.24 : x
  2. Step 2: Convert to fraction form
    3,184.97/4,773.20 = 1,538.24/x
  3. Step 3: Cross multiply
    3,184.97x = 4,773.20 × 1,538.24
  4. Step 4: Simplify right side
    3,184.97x = 7,342,295.61
  5. Step 5: Solve for x
    x = 7,342,295.61/3,184.97
  6. Step 6: Final answer
    x = 2,305.30

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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.