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Finding the Fourth Proportional to 4,970.92, 7,441.80 and 3,484.96

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Solution

The fourth proportional to 4,970.92, 7,441.80 and 3,484.96 is: 5,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.92 : 7,441.80 = 3,484.96 : x
  2. Step 2: Convert to fraction form
    4,970.92/7,441.80 = 3,484.96/x
  3. Step 3: Cross multiply
    4,970.92x = 7,441.80 × 3,484.96
  4. Step 4: Simplify right side
    4,970.92x = 25,934,375.33
  5. Step 5: Solve for x
    x = 25,934,375.33/4,970.92
  6. Step 6: Final answer
    x = 5,217.22

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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.