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Finding the Fourth Proportional to 5,576.38, 7,695.34 and 3,218.47

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Solution

The fourth proportional to 5,576.38, 7,695.34 and 3,218.47 is: 4,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.38 : 7,695.34 = 3,218.47 : x
  2. Step 2: Convert to fraction form
    5,576.38/7,695.34 = 3,218.47/x
  3. Step 3: Cross multiply
    5,576.38x = 7,695.34 × 3,218.47
  4. Step 4: Simplify right side
    5,576.38x = 24,767,193.65
  5. Step 5: Solve for x
    x = 24,767,193.65/5,576.38
  6. Step 6: Final answer
    x = 4,441.45

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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.