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Finding the Fourth Proportional to 2,558.96, 3,827.76 and 2,207.12

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Solution

The fourth proportional to 2,558.96, 3,827.76 and 2,207.12 is: 3,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.96 : 3,827.76 = 2,207.12 : x
  2. Step 2: Convert to fraction form
    2,558.96/3,827.76 = 2,207.12/x
  3. Step 3: Cross multiply
    2,558.96x = 3,827.76 × 2,207.12
  4. Step 4: Simplify right side
    2,558.96x = 8,448,325.65
  5. Step 5: Solve for x
    x = 8,448,325.65/2,558.96
  6. Step 6: Final answer
    x = 3,301.47

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