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Finding the Fourth Proportional to 3,488.75, 5,233.18 and 1,269.15

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Solution

The fourth proportional to 3,488.75, 5,233.18 and 1,269.15 is: 1,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.75 : 5,233.18 = 1,269.15 : x
  2. Step 2: Convert to fraction form
    3,488.75/5,233.18 = 1,269.15/x
  3. Step 3: Cross multiply
    3,488.75x = 5,233.18 × 1,269.15
  4. Step 4: Simplify right side
    3,488.75x = 6,641,684.05
  5. Step 5: Solve for x
    x = 6,641,684.05/3,488.75
  6. Step 6: Final answer
    x = 1,903.75

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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.