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Finding the Fourth Proportional to 2,575.88, 3,868.98 and 1,537.90

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Solution

The fourth proportional to 2,575.88, 3,868.98 and 1,537.90 is: 2,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.88 : 3,868.98 = 1,537.90 : x
  2. Step 2: Convert to fraction form
    2,575.88/3,868.98 = 1,537.90/x
  3. Step 3: Cross multiply
    2,575.88x = 3,868.98 × 1,537.90
  4. Step 4: Simplify right side
    2,575.88x = 5,950,104.34
  5. Step 5: Solve for x
    x = 5,950,104.34/2,575.88
  6. Step 6: Final answer
    x = 2,309.93

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