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Finding the Fourth Proportional to 3,444.49, 5,165.92 and 979.53

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Solution

The fourth proportional to 3,444.49, 5,165.92 and 979.53 is: 1,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.49 : 5,165.92 = 979.53 : x
  2. Step 2: Convert to fraction form
    3,444.49/5,165.92 = 979.53/x
  3. Step 3: Cross multiply
    3,444.49x = 5,165.92 × 979.53
  4. Step 4: Simplify right side
    3,444.49x = 5,060,173.62
  5. Step 5: Solve for x
    x = 5,060,173.62/3,444.49
  6. Step 6: Final answer
    x = 1,469.06

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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.