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Finding the Fourth Proportional to 3,305.31, 4,957.97 and 1,113.86

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Solution

The fourth proportional to 3,305.31, 4,957.97 and 1,113.86 is: 1,670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.31 : 4,957.97 = 1,113.86 : x
  2. Step 2: Convert to fraction form
    3,305.31/4,957.97 = 1,113.86/x
  3. Step 3: Cross multiply
    3,305.31x = 4,957.97 × 1,113.86
  4. Step 4: Simplify right side
    3,305.31x = 5,522,454.11
  5. Step 5: Solve for x
    x = 5,522,454.11/3,305.31
  6. Step 6: Final answer
    x = 1,670.78

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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.