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Finding the Fourth Proportional to 4,657.41, 6,979.25 and 3,481.90

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Solution

The fourth proportional to 4,657.41, 6,979.25 and 3,481.90 is: 5,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.41 : 6,979.25 = 3,481.90 : x
  2. Step 2: Convert to fraction form
    4,657.41/6,979.25 = 3,481.90/x
  3. Step 3: Cross multiply
    4,657.41x = 6,979.25 × 3,481.90
  4. Step 4: Simplify right side
    4,657.41x = 24,301,041.83
  5. Step 5: Solve for x
    x = 24,301,041.83/4,657.41
  6. Step 6: Final answer
    x = 5,217.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.