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Finding the Fourth Proportional to 3,748.64, 5,625.47 and 1,557.36

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Solution

The fourth proportional to 3,748.64, 5,625.47 and 1,557.36 is: 2,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.64 : 5,625.47 = 1,557.36 : x
  2. Step 2: Convert to fraction form
    3,748.64/5,625.47 = 1,557.36/x
  3. Step 3: Cross multiply
    3,748.64x = 5,625.47 × 1,557.36
  4. Step 4: Simplify right side
    3,748.64x = 8,760,874.17
  5. Step 5: Solve for x
    x = 8,760,874.17/3,748.64
  6. Step 6: Final answer
    x = 2,337.08

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