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Finding the Fourth Proportional to 5,934.65, 8,902.16 and 2,039

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Solution

The fourth proportional to 5,934.65, 8,902.16 and 2,039 is: 3,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.65 : 8,902.16 = 2,039 : x
  2. Step 2: Convert to fraction form
    5,934.65/8,902.16 = 2,039/x
  3. Step 3: Cross multiply
    5,934.65x = 8,902.16 × 2,039
  4. Step 4: Simplify right side
    5,934.65x = 18,151,494.05
  5. Step 5: Solve for x
    x = 18,151,494.05/5,934.65
  6. Step 6: Final answer
    x = 3,058.56

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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.