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Finding the Fourth Proportional to 3,478, 5,219.40 and 1,426

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Solution

The fourth proportional to 3,478, 5,219.40 and 1,426 is: 2,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478 : 5,219.40 = 1,426 : x
  2. Step 2: Convert to fraction form
    3,478/5,219.40 = 1,426/x
  3. Step 3: Cross multiply
    3,478x = 5,219.40 × 1,426
  4. Step 4: Simplify right side
    3,478x = 7,442,864.40
  5. Step 5: Solve for x
    x = 7,442,864.40/3,478
  6. Step 6: Final answer
    x = 2,139.98

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