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Finding the Fourth Proportional to 3,734.80, 5,599.96 and 1,542.24

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Solution

The fourth proportional to 3,734.80, 5,599.96 and 1,542.24 is: 2,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.80 : 5,599.96 = 1,542.24 : x
  2. Step 2: Convert to fraction form
    3,734.80/5,599.96 = 1,542.24/x
  3. Step 3: Cross multiply
    3,734.80x = 5,599.96 × 1,542.24
  4. Step 4: Simplify right side
    3,734.80x = 8,636,482.31
  5. Step 5: Solve for x
    x = 8,636,482.31/3,734.80
  6. Step 6: Final answer
    x = 2,312.44

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