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Finding the Fourth Proportional to 3,758.98, 5,636.74 and 1,566.40

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Solution

The fourth proportional to 3,758.98, 5,636.74 and 1,566.40 is: 2,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.98 : 5,636.74 = 1,566.40 : x
  2. Step 2: Convert to fraction form
    3,758.98/5,636.74 = 1,566.40/x
  3. Step 3: Cross multiply
    3,758.98x = 5,636.74 × 1,566.40
  4. Step 4: Simplify right side
    3,758.98x = 8,829,389.54
  5. Step 5: Solve for x
    x = 8,829,389.54/3,758.98
  6. Step 6: Final answer
    x = 2,348.88

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