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Finding the Fourth Proportional to 3,478.90, 5,219.14 and 1,170.40

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Solution

The fourth proportional to 3,478.90, 5,219.14 and 1,170.40 is: 1,755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.90 : 5,219.14 = 1,170.40 : x
  2. Step 2: Convert to fraction form
    3,478.90/5,219.14 = 1,170.40/x
  3. Step 3: Cross multiply
    3,478.90x = 5,219.14 × 1,170.40
  4. Step 4: Simplify right side
    3,478.90x = 6,108,481.46
  5. Step 5: Solve for x
    x = 6,108,481.46/3,478.90
  6. Step 6: Final answer
    x = 1,755.87

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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.