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Finding the Fourth Proportional to 5,545.74, 7,654.85 and 3,778.38

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Solution

The fourth proportional to 5,545.74, 7,654.85 and 3,778.38 is: 5,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.74 : 7,654.85 = 3,778.38 : x
  2. Step 2: Convert to fraction form
    5,545.74/7,654.85 = 3,778.38/x
  3. Step 3: Cross multiply
    5,545.74x = 7,654.85 × 3,778.38
  4. Step 4: Simplify right side
    5,545.74x = 28,922,913.25
  5. Step 5: Solve for x
    x = 28,922,913.25/5,545.74
  6. Step 6: Final answer
    x = 5,215.34

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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.