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Finding the Fourth Proportional to 3,339.52, 5,012.16 and 1,288.96

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Solution

The fourth proportional to 3,339.52, 5,012.16 and 1,288.96 is: 1,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.52 : 5,012.16 = 1,288.96 : x
  2. Step 2: Convert to fraction form
    3,339.52/5,012.16 = 1,288.96/x
  3. Step 3: Cross multiply
    3,339.52x = 5,012.16 × 1,288.96
  4. Step 4: Simplify right side
    3,339.52x = 6,460,473.75
  5. Step 5: Solve for x
    x = 6,460,473.75/3,339.52
  6. Step 6: Final answer
    x = 1,934.55

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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.