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Finding the Fourth Proportional to 3,855.81, 5,787 and 1,517.46

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Solution

The fourth proportional to 3,855.81, 5,787 and 1,517.46 is: 2,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.81 : 5,787 = 1,517.46 : x
  2. Step 2: Convert to fraction form
    3,855.81/5,787 = 1,517.46/x
  3. Step 3: Cross multiply
    3,855.81x = 5,787 × 1,517.46
  4. Step 4: Simplify right side
    3,855.81x = 8,781,541.02
  5. Step 5: Solve for x
    x = 8,781,541.02/3,855.81
  6. Step 6: Final answer
    x = 2,277.48

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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.