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Finding the Fourth Proportional to 3,470.84, 4,788.05 and 2,275.28

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Solution

The fourth proportional to 3,470.84, 4,788.05 and 2,275.28 is: 3,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.84 : 4,788.05 = 2,275.28 : x
  2. Step 2: Convert to fraction form
    3,470.84/4,788.05 = 2,275.28/x
  3. Step 3: Cross multiply
    3,470.84x = 4,788.05 × 2,275.28
  4. Step 4: Simplify right side
    3,470.84x = 10,894,139.91
  5. Step 5: Solve for x
    x = 10,894,139.91/3,470.84
  6. Step 6: Final answer
    x = 3,138.76

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