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Finding the Fourth Proportional to 5,841.67, 8,061.74 and 3,324.01

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Solution

The fourth proportional to 5,841.67, 8,061.74 and 3,324.01 is: 4,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.67 : 8,061.74 = 3,324.01 : x
  2. Step 2: Convert to fraction form
    5,841.67/8,061.74 = 3,324.01/x
  3. Step 3: Cross multiply
    5,841.67x = 8,061.74 × 3,324.01
  4. Step 4: Simplify right side
    5,841.67x = 26,797,304.38
  5. Step 5: Solve for x
    x = 26,797,304.38/5,841.67
  6. Step 6: Final answer
    x = 4,587.27

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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.