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Finding the Fourth Proportional to 3,446.75, 5,170.13 and 1,138.43

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Solution

The fourth proportional to 3,446.75, 5,170.13 and 1,138.43 is: 1,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.75 : 5,170.13 = 1,138.43 : x
  2. Step 2: Convert to fraction form
    3,446.75/5,170.13 = 1,138.43/x
  3. Step 3: Cross multiply
    3,446.75x = 5,170.13 × 1,138.43
  4. Step 4: Simplify right side
    3,446.75x = 5,885,831.10
  5. Step 5: Solve for x
    x = 5,885,831.10/3,446.75
  6. Step 6: Final answer
    x = 1,707.65

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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.