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Finding the Fourth Proportional to 5,627.93, 7,766.39 and 3,109.86

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Solution

The fourth proportional to 5,627.93, 7,766.39 and 3,109.86 is: 4,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.93 : 7,766.39 = 3,109.86 : x
  2. Step 2: Convert to fraction form
    5,627.93/7,766.39 = 3,109.86/x
  3. Step 3: Cross multiply
    5,627.93x = 7,766.39 × 3,109.86
  4. Step 4: Simplify right side
    5,627.93x = 24,152,393.38
  5. Step 5: Solve for x
    x = 24,152,393.38/5,627.93
  6. Step 6: Final answer
    x = 4,291.53

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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.