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Finding the Fourth Proportional to 5,826.60, 8,734.41 and 2,902.14

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Solution

The fourth proportional to 5,826.60, 8,734.41 and 2,902.14 is: 4,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.60 : 8,734.41 = 2,902.14 : x
  2. Step 2: Convert to fraction form
    5,826.60/8,734.41 = 2,902.14/x
  3. Step 3: Cross multiply
    5,826.60x = 8,734.41 × 2,902.14
  4. Step 4: Simplify right side
    5,826.60x = 25,348,480.64
  5. Step 5: Solve for x
    x = 25,348,480.64/5,826.60
  6. Step 6: Final answer
    x = 4,350.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.