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Finding the Fourth Proportional to 3,407.31, 5,109.98 and 1,215.74

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Solution

The fourth proportional to 3,407.31, 5,109.98 and 1,215.74 is: 1,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.31 : 5,109.98 = 1,215.74 : x
  2. Step 2: Convert to fraction form
    3,407.31/5,109.98 = 1,215.74/x
  3. Step 3: Cross multiply
    3,407.31x = 5,109.98 × 1,215.74
  4. Step 4: Simplify right side
    3,407.31x = 6,212,375.46
  5. Step 5: Solve for x
    x = 6,212,375.46/3,407.31
  6. Step 6: Final answer
    x = 1,823.25

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