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Finding the Fourth Proportional to 4,669.38, 6,998.13 and 1,744.20

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Solution

The fourth proportional to 4,669.38, 6,998.13 and 1,744.20 is: 2,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.38 : 6,998.13 = 1,744.20 : x
  2. Step 2: Convert to fraction form
    4,669.38/6,998.13 = 1,744.20/x
  3. Step 3: Cross multiply
    4,669.38x = 6,998.13 × 1,744.20
  4. Step 4: Simplify right side
    4,669.38x = 12,206,138.35
  5. Step 5: Solve for x
    x = 12,206,138.35/4,669.38
  6. Step 6: Final answer
    x = 2,614.08

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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.