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Finding the Fourth Proportional to 5,760.29, 8,640.06 and 2,836.01

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Solution

The fourth proportional to 5,760.29, 8,640.06 and 2,836.01 is: 4,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.29 : 8,640.06 = 2,836.01 : x
  2. Step 2: Convert to fraction form
    5,760.29/8,640.06 = 2,836.01/x
  3. Step 3: Cross multiply
    5,760.29x = 8,640.06 × 2,836.01
  4. Step 4: Simplify right side
    5,760.29x = 24,503,253.36
  5. Step 5: Solve for x
    x = 24,503,253.36/5,760.29
  6. Step 6: Final answer
    x = 4,253.83

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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.