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Finding the Fourth Proportional to 3,479.40, 5,219.54 and 1,288.15

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Solution

The fourth proportional to 3,479.40, 5,219.54 and 1,288.15 is: 1,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.40 : 5,219.54 = 1,288.15 : x
  2. Step 2: Convert to fraction form
    3,479.40/5,219.54 = 1,288.15/x
  3. Step 3: Cross multiply
    3,479.40x = 5,219.54 × 1,288.15
  4. Step 4: Simplify right side
    3,479.40x = 6,723,550.45
  5. Step 5: Solve for x
    x = 6,723,550.45/3,479.40
  6. Step 6: Final answer
    x = 1,932.39

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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.