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Finding the Fourth Proportional to 3,446.78, 5,168.62 and 981.01

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Solution

The fourth proportional to 3,446.78, 5,168.62 and 981.01 is: 1,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.78 : 5,168.62 = 981.01 : x
  2. Step 2: Convert to fraction form
    3,446.78/5,168.62 = 981.01/x
  3. Step 3: Cross multiply
    3,446.78x = 5,168.62 × 981.01
  4. Step 4: Simplify right side
    3,446.78x = 5,070,437.16
  5. Step 5: Solve for x
    x = 5,070,437.16/3,446.78
  6. Step 6: Final answer
    x = 1,471.06

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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.