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Finding the Fourth Proportional to 3,888.78, 5,821.83 and 3,023.70

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Solution

The fourth proportional to 3,888.78, 5,821.83 and 3,023.70 is: 4,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.78 : 5,821.83 = 3,023.70 : x
  2. Step 2: Convert to fraction form
    3,888.78/5,821.83 = 3,023.70/x
  3. Step 3: Cross multiply
    3,888.78x = 5,821.83 × 3,023.70
  4. Step 4: Simplify right side
    3,888.78x = 17,603,467.37
  5. Step 5: Solve for x
    x = 17,603,467.37/3,888.78
  6. Step 6: Final answer
    x = 4,526.73

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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.