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Finding the Fourth Proportional to 3,885.75, 5,827.92 and 1,253.15

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Solution

The fourth proportional to 3,885.75, 5,827.92 and 1,253.15 is: 1,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.75 : 5,827.92 = 1,253.15 : x
  2. Step 2: Convert to fraction form
    3,885.75/5,827.92 = 1,253.15/x
  3. Step 3: Cross multiply
    3,885.75x = 5,827.92 × 1,253.15
  4. Step 4: Simplify right side
    3,885.75x = 7,303,240.15
  5. Step 5: Solve for x
    x = 7,303,240.15/3,885.75
  6. Step 6: Final answer
    x = 1,879.49

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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.