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Finding the Fourth Proportional to 3,486.48, 5,227.56 and 1,947.12

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Solution

The fourth proportional to 3,486.48, 5,227.56 and 1,947.12 is: 2,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.48 : 5,227.56 = 1,947.12 : x
  2. Step 2: Convert to fraction form
    3,486.48/5,227.56 = 1,947.12/x
  3. Step 3: Cross multiply
    3,486.48x = 5,227.56 × 1,947.12
  4. Step 4: Simplify right side
    3,486.48x = 10,178,686.63
  5. Step 5: Solve for x
    x = 10,178,686.63/3,486.48
  6. Step 6: Final answer
    x = 2,919.47

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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.