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Finding the Fourth Proportional to 5,839.39, 8,747.74 and 5,184.91

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Solution

The fourth proportional to 5,839.39, 8,747.74 and 5,184.91 is: 7,767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.39 : 8,747.74 = 5,184.91 : x
  2. Step 2: Convert to fraction form
    5,839.39/8,747.74 = 5,184.91/x
  3. Step 3: Cross multiply
    5,839.39x = 8,747.74 × 5,184.91
  4. Step 4: Simplify right side
    5,839.39x = 45,356,174.94
  5. Step 5: Solve for x
    x = 45,356,174.94/5,839.39
  6. Step 6: Final answer
    x = 7,767.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.