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Finding the Fourth Proportional to 6,591.65, 9,096.20 and 3,940.52

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Solution

The fourth proportional to 6,591.65, 9,096.20 and 3,940.52 is: 5,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.65 : 9,096.20 = 3,940.52 : x
  2. Step 2: Convert to fraction form
    6,591.65/9,096.20 = 3,940.52/x
  3. Step 3: Cross multiply
    6,591.65x = 9,096.20 × 3,940.52
  4. Step 4: Simplify right side
    6,591.65x = 35,843,758.02
  5. Step 5: Solve for x
    x = 35,843,758.02/6,591.65
  6. Step 6: Final answer
    x = 5,437.75

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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.