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Finding the Fourth Proportional to 3,830.16, 5,747.52 and 3,587.20

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Solution

The fourth proportional to 3,830.16, 5,747.52 and 3,587.20 is: 5,382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.16 : 5,747.52 = 3,587.20 : x
  2. Step 2: Convert to fraction form
    3,830.16/5,747.52 = 3,587.20/x
  3. Step 3: Cross multiply
    3,830.16x = 5,747.52 × 3,587.20
  4. Step 4: Simplify right side
    3,830.16x = 20,617,503.74
  5. Step 5: Solve for x
    x = 20,617,503.74/3,830.16
  6. Step 6: Final answer
    x = 5,382.94

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