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Finding the Fourth Proportional to 3,775.41, 5,663.52 and 1,582.74

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Solution

The fourth proportional to 3,775.41, 5,663.52 and 1,582.74 is: 2,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.41 : 5,663.52 = 1,582.74 : x
  2. Step 2: Convert to fraction form
    3,775.41/5,663.52 = 1,582.74/x
  3. Step 3: Cross multiply
    3,775.41x = 5,663.52 × 1,582.74
  4. Step 4: Simplify right side
    3,775.41x = 8,963,879.64
  5. Step 5: Solve for x
    x = 8,963,879.64/3,775.41
  6. Step 6: Final answer
    x = 2,374.28

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