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Finding the Fourth Proportional to 5,768.94, 7,955.91 and 3,778.77

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Solution

The fourth proportional to 5,768.94, 7,955.91 and 3,778.77 is: 5,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.94 : 7,955.91 = 3,778.77 : x
  2. Step 2: Convert to fraction form
    5,768.94/7,955.91 = 3,778.77/x
  3. Step 3: Cross multiply
    5,768.94x = 7,955.91 × 3,778.77
  4. Step 4: Simplify right side
    5,768.94x = 30,063,554.03
  5. Step 5: Solve for x
    x = 30,063,554.03/5,768.94
  6. Step 6: Final answer
    x = 5,211.28

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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.