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Finding the Fourth Proportional to 3,483.98, 5,226.24 and 1,509.74

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Solution

The fourth proportional to 3,483.98, 5,226.24 and 1,509.74 is: 2,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.98 : 5,226.24 = 1,509.74 : x
  2. Step 2: Convert to fraction form
    3,483.98/5,226.24 = 1,509.74/x
  3. Step 3: Cross multiply
    3,483.98x = 5,226.24 × 1,509.74
  4. Step 4: Simplify right side
    3,483.98x = 7,890,263.58
  5. Step 5: Solve for x
    x = 7,890,263.58/3,483.98
  6. Step 6: Final answer
    x = 2,264.73

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