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Finding the Fourth Proportional to 3,462.20, 5,204.10 and 3,397.40

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Solution

The fourth proportional to 3,462.20, 5,204.10 and 3,397.40 is: 5,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.20 : 5,204.10 = 3,397.40 : x
  2. Step 2: Convert to fraction form
    3,462.20/5,204.10 = 3,397.40/x
  3. Step 3: Cross multiply
    3,462.20x = 5,204.10 × 3,397.40
  4. Step 4: Simplify right side
    3,462.20x = 17,680,409.34
  5. Step 5: Solve for x
    x = 17,680,409.34/3,462.20
  6. Step 6: Final answer
    x = 5,106.70

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