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Finding the Fourth Proportional to 5,456.22, 7,529.64 and 3,098.41

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Solution

The fourth proportional to 5,456.22, 7,529.64 and 3,098.41 is: 4,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.22 : 7,529.64 = 3,098.41 : x
  2. Step 2: Convert to fraction form
    5,456.22/7,529.64 = 3,098.41/x
  3. Step 3: Cross multiply
    5,456.22x = 7,529.64 × 3,098.41
  4. Step 4: Simplify right side
    5,456.22x = 23,329,896.38
  5. Step 5: Solve for x
    x = 23,329,896.38/5,456.22
  6. Step 6: Final answer
    x = 4,275.83

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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.