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Finding the Fourth Proportional to 3,422.68, 4,702.76 and 2,722.84

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Solution

The fourth proportional to 3,422.68, 4,702.76 and 2,722.84 is: 3,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.68 : 4,702.76 = 2,722.84 : x
  2. Step 2: Convert to fraction form
    3,422.68/4,702.76 = 2,722.84/x
  3. Step 3: Cross multiply
    3,422.68x = 4,702.76 × 2,722.84
  4. Step 4: Simplify right side
    3,422.68x = 12,804,863.04
  5. Step 5: Solve for x
    x = 12,804,863.04/3,422.68
  6. Step 6: Final answer
    x = 3,741.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.