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Finding the Fourth Proportional to 5,843.01, 8,768.74 and 2,285.65

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Solution

The fourth proportional to 5,843.01, 8,768.74 and 2,285.65 is: 3,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.01 : 8,768.74 = 2,285.65 : x
  2. Step 2: Convert to fraction form
    5,843.01/8,768.74 = 2,285.65/x
  3. Step 3: Cross multiply
    5,843.01x = 8,768.74 × 2,285.65
  4. Step 4: Simplify right side
    5,843.01x = 20,042,265.54
  5. Step 5: Solve for x
    x = 20,042,265.54/5,843.01
  6. Step 6: Final answer
    x = 3,430.13

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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.