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Finding the Fourth Proportional to 3,446.25, 5,169.35 and 981.06

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Solution

The fourth proportional to 3,446.25, 5,169.35 and 981.06 is: 1,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.25 : 5,169.35 = 981.06 : x
  2. Step 2: Convert to fraction form
    3,446.25/5,169.35 = 981.06/x
  3. Step 3: Cross multiply
    3,446.25x = 5,169.35 × 981.06
  4. Step 4: Simplify right side
    3,446.25x = 5,071,437.61
  5. Step 5: Solve for x
    x = 5,071,437.61/3,446.25
  6. Step 6: Final answer
    x = 1,471.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.