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Finding the Fourth Proportional to 3,748.64, 5,624.16 and 2,288.80

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Solution

The fourth proportional to 3,748.64, 5,624.16 and 2,288.80 is: 3,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.64 : 5,624.16 = 2,288.80 : x
  2. Step 2: Convert to fraction form
    3,748.64/5,624.16 = 2,288.80/x
  3. Step 3: Cross multiply
    3,748.64x = 5,624.16 × 2,288.80
  4. Step 4: Simplify right side
    3,748.64x = 12,872,577.41
  5. Step 5: Solve for x
    x = 12,872,577.41/3,748.64
  6. Step 6: Final answer
    x = 3,433.93

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