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Finding the Fourth Proportional to 6,586.74, 9,882.72 and 3,959.19

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Solution

The fourth proportional to 6,586.74, 9,882.72 and 3,959.19 is: 5,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.74 : 9,882.72 = 3,959.19 : x
  2. Step 2: Convert to fraction form
    6,586.74/9,882.72 = 3,959.19/x
  3. Step 3: Cross multiply
    6,586.74x = 9,882.72 × 3,959.19
  4. Step 4: Simplify right side
    6,586.74x = 39,127,566.20
  5. Step 5: Solve for x
    x = 39,127,566.20/6,586.74
  6. Step 6: Final answer
    x = 5,940.35

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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.