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Finding the Fourth Proportional to 3,446.48, 5,169.71 and 981.33

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Solution

The fourth proportional to 3,446.48, 5,169.71 and 981.33 is: 1,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.48 : 5,169.71 = 981.33 : x
  2. Step 2: Convert to fraction form
    3,446.48/5,169.71 = 981.33/x
  3. Step 3: Cross multiply
    3,446.48x = 5,169.71 × 981.33
  4. Step 4: Simplify right side
    3,446.48x = 5,073,191.51
  5. Step 5: Solve for x
    x = 5,073,191.51/3,446.48
  6. Step 6: Final answer
    x = 1,471.99

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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.