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Finding the Fourth Proportional to 3,407.28, 4,702.17 and 2,080.05

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Solution

The fourth proportional to 3,407.28, 4,702.17 and 2,080.05 is: 2,870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.28 : 4,702.17 = 2,080.05 : x
  2. Step 2: Convert to fraction form
    3,407.28/4,702.17 = 2,080.05/x
  3. Step 3: Cross multiply
    3,407.28x = 4,702.17 × 2,080.05
  4. Step 4: Simplify right side
    3,407.28x = 9,780,748.71
  5. Step 5: Solve for x
    x = 9,780,748.71/3,407.28
  6. Step 6: Final answer
    x = 2,870.54

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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.