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Finding the Fourth Proportional to 5,821.65, 8,034.26 and 3,463.47

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Solution

The fourth proportional to 5,821.65, 8,034.26 and 3,463.47 is: 4,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.65 : 8,034.26 = 3,463.47 : x
  2. Step 2: Convert to fraction form
    5,821.65/8,034.26 = 3,463.47/x
  3. Step 3: Cross multiply
    5,821.65x = 8,034.26 × 3,463.47
  4. Step 4: Simplify right side
    5,821.65x = 27,826,401.16
  5. Step 5: Solve for x
    x = 27,826,401.16/5,821.65
  6. Step 6: Final answer
    x = 4,779.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.