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Finding the Fourth Proportional to 3,407.24, 4,702.95 and 1,991.25

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Solution

The fourth proportional to 3,407.24, 4,702.95 and 1,991.25 is: 2,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.24 : 4,702.95 = 1,991.25 : x
  2. Step 2: Convert to fraction form
    3,407.24/4,702.95 = 1,991.25/x
  3. Step 3: Cross multiply
    3,407.24x = 4,702.95 × 1,991.25
  4. Step 4: Simplify right side
    3,407.24x = 9,364,749.19
  5. Step 5: Solve for x
    x = 9,364,749.19/3,407.24
  6. Step 6: Final answer
    x = 2,748.49

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