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Finding the Fourth Proportional to 3,865.89, 5,795.65 and 1,524.89

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Solution

The fourth proportional to 3,865.89, 5,795.65 and 1,524.89 is: 2,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.89 : 5,795.65 = 1,524.89 : x
  2. Step 2: Convert to fraction form
    3,865.89/5,795.65 = 1,524.89/x
  3. Step 3: Cross multiply
    3,865.89x = 5,795.65 × 1,524.89
  4. Step 4: Simplify right side
    3,865.89x = 8,837,745.12
  5. Step 5: Solve for x
    x = 8,837,745.12/3,865.89
  6. Step 6: Final answer
    x = 2,286.08

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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.