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Finding the Fourth Proportional to 5,488.80, 8,235.60 and 2,565.60

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Solution

The fourth proportional to 5,488.80, 8,235.60 and 2,565.60 is: 3,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.80 : 8,235.60 = 2,565.60 : x
  2. Step 2: Convert to fraction form
    5,488.80/8,235.60 = 2,565.60/x
  3. Step 3: Cross multiply
    5,488.80x = 8,235.60 × 2,565.60
  4. Step 4: Simplify right side
    5,488.80x = 21,129,255.36
  5. Step 5: Solve for x
    x = 21,129,255.36/5,488.80
  6. Step 6: Final answer
    x = 3,849.52

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