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Finding the Fourth Proportional to 3,505.56, 5,261.99 and 2,582.16

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Solution

The fourth proportional to 3,505.56, 5,261.99 and 2,582.16 is: 3,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.56 : 5,261.99 = 2,582.16 : x
  2. Step 2: Convert to fraction form
    3,505.56/5,261.99 = 2,582.16/x
  3. Step 3: Cross multiply
    3,505.56x = 5,261.99 × 2,582.16
  4. Step 4: Simplify right side
    3,505.56x = 13,587,287.19
  5. Step 5: Solve for x
    x = 13,587,287.19/3,505.56
  6. Step 6: Final answer
    x = 3,875.92

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