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Finding the Fourth Proportional to 5,161.57, 7,742.35 and 1,265.94

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Solution

The fourth proportional to 5,161.57, 7,742.35 and 1,265.94 is: 1,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.57 : 7,742.35 = 1,265.94 : x
  2. Step 2: Convert to fraction form
    5,161.57/7,742.35 = 1,265.94/x
  3. Step 3: Cross multiply
    5,161.57x = 7,742.35 × 1,265.94
  4. Step 4: Simplify right side
    5,161.57x = 9,801,350.56
  5. Step 5: Solve for x
    x = 9,801,350.56/5,161.57
  6. Step 6: Final answer
    x = 1,898.91

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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.