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Finding the Fourth Proportional to 5,214.60, 7,823.76 and 2,293.72

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Solution

The fourth proportional to 5,214.60, 7,823.76 and 2,293.72 is: 3,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.60 : 7,823.76 = 2,293.72 : x
  2. Step 2: Convert to fraction form
    5,214.60/7,823.76 = 2,293.72/x
  3. Step 3: Cross multiply
    5,214.60x = 7,823.76 × 2,293.72
  4. Step 4: Simplify right side
    5,214.60x = 17,945,514.79
  5. Step 5: Solve for x
    x = 17,945,514.79/5,214.60
  6. Step 6: Final answer
    x = 3,441.40

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