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Finding the Fourth Proportional to 5,778.49, 7,971.49 and 3,788.17

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Solution

The fourth proportional to 5,778.49, 7,971.49 and 3,788.17 is: 5,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.49 : 7,971.49 = 3,788.17 : x
  2. Step 2: Convert to fraction form
    5,778.49/7,971.49 = 3,788.17/x
  3. Step 3: Cross multiply
    5,778.49x = 7,971.49 × 3,788.17
  4. Step 4: Simplify right side
    5,778.49x = 30,197,359.27
  5. Step 5: Solve for x
    x = 30,197,359.27/5,778.49
  6. Step 6: Final answer
    x = 5,225.82

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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.