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Finding the Fourth Proportional to 5,813.65, 8,719.85 and 3,441.97

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Solution

The fourth proportional to 5,813.65, 8,719.85 and 3,441.97 is: 5,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.65 : 8,719.85 = 3,441.97 : x
  2. Step 2: Convert to fraction form
    5,813.65/8,719.85 = 3,441.97/x
  3. Step 3: Cross multiply
    5,813.65x = 8,719.85 × 3,441.97
  4. Step 4: Simplify right side
    5,813.65x = 30,013,462.10
  5. Step 5: Solve for x
    x = 30,013,462.10/5,813.65
  6. Step 6: Final answer
    x = 5,162.58

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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.