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Finding the Fourth Proportional to 3,454.20, 5,182.10 and 989.04

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Solution

The fourth proportional to 3,454.20, 5,182.10 and 989.04 is: 1,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.20 : 5,182.10 = 989.04 : x
  2. Step 2: Convert to fraction form
    3,454.20/5,182.10 = 989.04/x
  3. Step 3: Cross multiply
    3,454.20x = 5,182.10 × 989.04
  4. Step 4: Simplify right side
    3,454.20x = 5,125,299.24
  5. Step 5: Solve for x
    x = 5,125,299.24/3,454.20
  6. Step 6: Final answer
    x = 1,483.79

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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.