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Finding the Fourth Proportional to 3,842.64, 5,297.93 and 2,582.72

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Solution

The fourth proportional to 3,842.64, 5,297.93 and 2,582.72 is: 3,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.64 : 5,297.93 = 2,582.72 : x
  2. Step 2: Convert to fraction form
    3,842.64/5,297.93 = 2,582.72/x
  3. Step 3: Cross multiply
    3,842.64x = 5,297.93 × 2,582.72
  4. Step 4: Simplify right side
    3,842.64x = 13,683,069.77
  5. Step 5: Solve for x
    x = 13,683,069.77/3,842.64
  6. Step 6: Final answer
    x = 3,560.85

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