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Finding the Fourth Proportional to 3,249.04, 4,871.52 and 1,299.04

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Solution

The fourth proportional to 3,249.04, 4,871.52 and 1,299.04 is: 1,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.04 : 4,871.52 = 1,299.04 : x
  2. Step 2: Convert to fraction form
    3,249.04/4,871.52 = 1,299.04/x
  3. Step 3: Cross multiply
    3,249.04x = 4,871.52 × 1,299.04
  4. Step 4: Simplify right side
    3,249.04x = 6,328,299.34
  5. Step 5: Solve for x
    x = 6,328,299.34/3,249.04
  6. Step 6: Final answer
    x = 1,947.74

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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.