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Finding the Fourth Proportional to 3,478.95, 5,217.35 and 1,397.86

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Solution

The fourth proportional to 3,478.95, 5,217.35 and 1,397.86 is: 2,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.95 : 5,217.35 = 1,397.86 : x
  2. Step 2: Convert to fraction form
    3,478.95/5,217.35 = 1,397.86/x
  3. Step 3: Cross multiply
    3,478.95x = 5,217.35 × 1,397.86
  4. Step 4: Simplify right side
    3,478.95x = 7,293,104.84
  5. Step 5: Solve for x
    x = 7,293,104.84/3,478.95
  6. Step 6: Final answer
    x = 2,096.35

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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.