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Finding the Fourth Proportional to 3,444.65, 5,166.94 and 979.15

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Solution

The fourth proportional to 3,444.65, 5,166.94 and 979.15 is: 1,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.65 : 5,166.94 = 979.15 : x
  2. Step 2: Convert to fraction form
    3,444.65/5,166.94 = 979.15/x
  3. Step 3: Cross multiply
    3,444.65x = 5,166.94 × 979.15
  4. Step 4: Simplify right side
    3,444.65x = 5,059,195.06
  5. Step 5: Solve for x
    x = 5,059,195.06/3,444.65
  6. Step 6: Final answer
    x = 1,468.71

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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.