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Finding the Fourth Proportional to 5,537.59, 7,641.99 and 3,299.89

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Solution

The fourth proportional to 5,537.59, 7,641.99 and 3,299.89 is: 4,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.59 : 7,641.99 = 3,299.89 : x
  2. Step 2: Convert to fraction form
    5,537.59/7,641.99 = 3,299.89/x
  3. Step 3: Cross multiply
    5,537.59x = 7,641.99 × 3,299.89
  4. Step 4: Simplify right side
    5,537.59x = 25,217,726.38
  5. Step 5: Solve for x
    x = 25,217,726.38/5,537.59
  6. Step 6: Final answer
    x = 4,553.92

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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.