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Finding the Fourth Proportional to 3,446.32, 5,169.51 and 849.28

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Solution

The fourth proportional to 3,446.32, 5,169.51 and 849.28 is: 1,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.32 : 5,169.51 = 849.28 : x
  2. Step 2: Convert to fraction form
    3,446.32/5,169.51 = 849.28/x
  3. Step 3: Cross multiply
    3,446.32x = 5,169.51 × 849.28
  4. Step 4: Simplify right side
    3,446.32x = 4,390,361.45
  5. Step 5: Solve for x
    x = 4,390,361.45/3,446.32
  6. Step 6: Final answer
    x = 1,273.93

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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.