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Finding the Fourth Proportional to 5,545.38, 7,653.92 and 3,657.30

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Solution

The fourth proportional to 5,545.38, 7,653.92 and 3,657.30 is: 5,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.38 : 7,653.92 = 3,657.30 : x
  2. Step 2: Convert to fraction form
    5,545.38/7,653.92 = 3,657.30/x
  3. Step 3: Cross multiply
    5,545.38x = 7,653.92 × 3,657.30
  4. Step 4: Simplify right side
    5,545.38x = 27,992,681.62
  5. Step 5: Solve for x
    x = 27,992,681.62/5,545.38
  6. Step 6: Final answer
    x = 5,047.93

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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.