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Finding the Fourth Proportional to 5,678.97, 8,508.99 and 1,979.16

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Solution

The fourth proportional to 5,678.97, 8,508.99 and 1,979.16 is: 2,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.97 : 8,508.99 = 1,979.16 : x
  2. Step 2: Convert to fraction form
    5,678.97/8,508.99 = 1,979.16/x
  3. Step 3: Cross multiply
    5,678.97x = 8,508.99 × 1,979.16
  4. Step 4: Simplify right side
    5,678.97x = 16,840,652.65
  5. Step 5: Solve for x
    x = 16,840,652.65/5,678.97
  6. Step 6: Final answer
    x = 2,965.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.