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Finding the Fourth Proportional to 6,586.38, 9,089.35 and 3,933.29

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Solution

The fourth proportional to 6,586.38, 9,089.35 and 3,933.29 is: 5,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.38 : 9,089.35 = 3,933.29 : x
  2. Step 2: Convert to fraction form
    6,586.38/9,089.35 = 3,933.29/x
  3. Step 3: Cross multiply
    6,586.38x = 9,089.35 × 3,933.29
  4. Step 4: Simplify right side
    6,586.38x = 35,751,049.46
  5. Step 5: Solve for x
    x = 35,751,049.46/6,586.38
  6. Step 6: Final answer
    x = 5,428.03

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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.