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Finding the Fourth Proportional to 3,788.15, 5,682.26 and 2,363.82

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Solution

The fourth proportional to 3,788.15, 5,682.26 and 2,363.82 is: 3,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.15 : 5,682.26 = 2,363.82 : x
  2. Step 2: Convert to fraction form
    3,788.15/5,682.26 = 2,363.82/x
  3. Step 3: Cross multiply
    3,788.15x = 5,682.26 × 2,363.82
  4. Step 4: Simplify right side
    3,788.15x = 13,431,828.01
  5. Step 5: Solve for x
    x = 13,431,828.01/3,788.15
  6. Step 6: Final answer
    x = 3,545.75

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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.