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Finding the Fourth Proportional to 3,478.42, 5,217.50 and 1,397.80

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Solution

The fourth proportional to 3,478.42, 5,217.50 and 1,397.80 is: 2,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.42 : 5,217.50 = 1,397.80 : x
  2. Step 2: Convert to fraction form
    3,478.42/5,217.50 = 1,397.80/x
  3. Step 3: Cross multiply
    3,478.42x = 5,217.50 × 1,397.80
  4. Step 4: Simplify right side
    3,478.42x = 7,293,021.50
  5. Step 5: Solve for x
    x = 7,293,021.50/3,478.42
  6. Step 6: Final answer
    x = 2,096.65

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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.