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Finding the Fourth Proportional to 5,161.12, 7,734.84 and 2,698

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Solution

The fourth proportional to 5,161.12, 7,734.84 and 2,698 is: 4,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.12 : 7,734.84 = 2,698 : x
  2. Step 2: Convert to fraction form
    5,161.12/7,734.84 = 2,698/x
  3. Step 3: Cross multiply
    5,161.12x = 7,734.84 × 2,698
  4. Step 4: Simplify right side
    5,161.12x = 20,868,598.32
  5. Step 5: Solve for x
    x = 20,868,598.32/5,161.12
  6. Step 6: Final answer
    x = 4,043.42

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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.