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Finding the Fourth Proportional to 3,663.90, 5,494.76 and 1,583.42

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Solution

The fourth proportional to 3,663.90, 5,494.76 and 1,583.42 is: 2,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.90 : 5,494.76 = 1,583.42 : x
  2. Step 2: Convert to fraction form
    3,663.90/5,494.76 = 1,583.42/x
  3. Step 3: Cross multiply
    3,663.90x = 5,494.76 × 1,583.42
  4. Step 4: Simplify right side
    3,663.90x = 8,700,477.49
  5. Step 5: Solve for x
    x = 8,700,477.49/3,663.90
  6. Step 6: Final answer
    x = 2,374.65

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