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Finding the Fourth Proportional to 5,821.79, 8,035.77 and 3,805.50

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Solution

The fourth proportional to 5,821.79, 8,035.77 and 3,805.50 is: 5,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.79 : 8,035.77 = 3,805.50 : x
  2. Step 2: Convert to fraction form
    5,821.79/8,035.77 = 3,805.50/x
  3. Step 3: Cross multiply
    5,821.79x = 8,035.77 × 3,805.50
  4. Step 4: Simplify right side
    5,821.79x = 30,580,122.74
  5. Step 5: Solve for x
    x = 30,580,122.74/5,821.79
  6. Step 6: Final answer
    x = 5,252.71

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