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Finding the Fourth Proportional to 3,454.78, 5,182.86 and 989.61

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Solution

The fourth proportional to 3,454.78, 5,182.86 and 989.61 is: 1,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.78 : 5,182.86 = 989.61 : x
  2. Step 2: Convert to fraction form
    3,454.78/5,182.86 = 989.61/x
  3. Step 3: Cross multiply
    3,454.78x = 5,182.86 × 989.61
  4. Step 4: Simplify right side
    3,454.78x = 5,129,010.08
  5. Step 5: Solve for x
    x = 5,129,010.08/3,454.78
  6. Step 6: Final answer
    x = 1,484.61

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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.