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Finding the Fourth Proportional to 3,530.78, 5,296.16 and 1,582.98

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Solution

The fourth proportional to 3,530.78, 5,296.16 and 1,582.98 is: 2,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.78 : 5,296.16 = 1,582.98 : x
  2. Step 2: Convert to fraction form
    3,530.78/5,296.16 = 1,582.98/x
  3. Step 3: Cross multiply
    3,530.78x = 5,296.16 × 1,582.98
  4. Step 4: Simplify right side
    3,530.78x = 8,383,707.44
  5. Step 5: Solve for x
    x = 8,383,707.44/3,530.78
  6. Step 6: Final answer
    x = 2,374.47

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