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Finding the Fourth Proportional to 5,363.87, 8,044.52 and 1,854

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Solution

The fourth proportional to 5,363.87, 8,044.52 and 1,854 is: 2,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.87 : 8,044.52 = 1,854 : x
  2. Step 2: Convert to fraction form
    5,363.87/8,044.52 = 1,854/x
  3. Step 3: Cross multiply
    5,363.87x = 8,044.52 × 1,854
  4. Step 4: Simplify right side
    5,363.87x = 14,914,544.72
  5. Step 5: Solve for x
    x = 14,914,544.72/5,363.87
  6. Step 6: Final answer
    x = 2,780.56

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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.