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Finding the Fourth Proportional to 5,161.91, 7,746.17 and 1,874.70

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Solution

The fourth proportional to 5,161.91, 7,746.17 and 1,874.70 is: 2,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.91 : 7,746.17 = 1,874.70 : x
  2. Step 2: Convert to fraction form
    5,161.91/7,746.17 = 1,874.70/x
  3. Step 3: Cross multiply
    5,161.91x = 7,746.17 × 1,874.70
  4. Step 4: Simplify right side
    5,161.91x = 14,521,735.53
  5. Step 5: Solve for x
    x = 14,521,735.53/5,161.91
  6. Step 6: Final answer
    x = 2,813.25

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Why These Related Problems?

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