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Finding the Fourth Proportional to 5,152.40, 7,728.56 and 1,865.48

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Solution

The fourth proportional to 5,152.40, 7,728.56 and 1,865.48 is: 2,798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.40 : 7,728.56 = 1,865.48 : x
  2. Step 2: Convert to fraction form
    5,152.40/7,728.56 = 1,865.48/x
  3. Step 3: Cross multiply
    5,152.40x = 7,728.56 × 1,865.48
  4. Step 4: Simplify right side
    5,152.40x = 14,417,474.11
  5. Step 5: Solve for x
    x = 14,417,474.11/5,152.40
  6. Step 6: Final answer
    x = 2,798.21

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