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Finding the Fourth Proportional to 5,782.69, 7,981.60 and 3,771.11

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Solution

The fourth proportional to 5,782.69, 7,981.60 and 3,771.11 is: 5,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.69 : 7,981.60 = 3,771.11 : x
  2. Step 2: Convert to fraction form
    5,782.69/7,981.60 = 3,771.11/x
  3. Step 3: Cross multiply
    5,782.69x = 7,981.60 × 3,771.11
  4. Step 4: Simplify right side
    5,782.69x = 30,099,491.58
  5. Step 5: Solve for x
    x = 30,099,491.58/5,782.69
  6. Step 6: Final answer
    x = 5,205.11

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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.