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Finding the Fourth Proportional to 3,407.81, 4,702.37 and 1,991.12

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Solution

The fourth proportional to 3,407.81, 4,702.37 and 1,991.12 is: 2,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.81 : 4,702.37 = 1,991.12 : x
  2. Step 2: Convert to fraction form
    3,407.81/4,702.37 = 1,991.12/x
  3. Step 3: Cross multiply
    3,407.81x = 4,702.37 × 1,991.12
  4. Step 4: Simplify right side
    3,407.81x = 9,362,949.49
  5. Step 5: Solve for x
    x = 9,362,949.49/3,407.81
  6. Step 6: Final answer
    x = 2,747.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.