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Finding the Fourth Proportional to 3,885.78, 5,826.57 and 2,032.44

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Solution

The fourth proportional to 3,885.78, 5,826.57 and 2,032.44 is: 3,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.78 : 5,826.57 = 2,032.44 : x
  2. Step 2: Convert to fraction form
    3,885.78/5,826.57 = 2,032.44/x
  3. Step 3: Cross multiply
    3,885.78x = 5,826.57 × 2,032.44
  4. Step 4: Simplify right side
    3,885.78x = 11,842,153.93
  5. Step 5: Solve for x
    x = 11,842,153.93/3,885.78
  6. Step 6: Final answer
    x = 3,047.56

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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.