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Finding the Fourth Proportional to 3,470.40, 4,794.36 and 2,278.20

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Solution

The fourth proportional to 3,470.40, 4,794.36 and 2,278.20 is: 3,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.40 : 4,794.36 = 2,278.20 : x
  2. Step 2: Convert to fraction form
    3,470.40/4,794.36 = 2,278.20/x
  3. Step 3: Cross multiply
    3,470.40x = 4,794.36 × 2,278.20
  4. Step 4: Simplify right side
    3,470.40x = 10,922,510.95
  5. Step 5: Solve for x
    x = 10,922,510.95/3,470.40
  6. Step 6: Final answer
    x = 3,147.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.