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Finding the Fourth Proportional to 6,589.20, 9,096.07 and 4,202.38

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Solution

The fourth proportional to 6,589.20, 9,096.07 and 4,202.38 is: 5,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.20 : 9,096.07 = 4,202.38 : x
  2. Step 2: Convert to fraction form
    6,589.20/9,096.07 = 4,202.38/x
  3. Step 3: Cross multiply
    6,589.20x = 9,096.07 × 4,202.38
  4. Step 4: Simplify right side
    6,589.20x = 38,225,142.65
  5. Step 5: Solve for x
    x = 38,225,142.65/6,589.20
  6. Step 6: Final answer
    x = 5,801.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.