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Finding the Fourth Proportional to 3,446.06, 5,168.31 and 981.14

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Solution

The fourth proportional to 3,446.06, 5,168.31 and 981.14 is: 1,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.06 : 5,168.31 = 981.14 : x
  2. Step 2: Convert to fraction form
    3,446.06/5,168.31 = 981.14/x
  3. Step 3: Cross multiply
    3,446.06x = 5,168.31 × 981.14
  4. Step 4: Simplify right side
    3,446.06x = 5,070,809.83
  5. Step 5: Solve for x
    x = 5,070,809.83/3,446.06
  6. Step 6: Final answer
    x = 1,471.48

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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.