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Finding the Fourth Proportional to 4,910.34, 6,778.78 and 3,788.76

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Solution

The fourth proportional to 4,910.34, 6,778.78 and 3,788.76 is: 5,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910.34 : 6,778.78 = 3,788.76 : x
  2. Step 2: Convert to fraction form
    4,910.34/6,778.78 = 3,788.76/x
  3. Step 3: Cross multiply
    4,910.34x = 6,778.78 × 3,788.76
  4. Step 4: Simplify right side
    4,910.34x = 25,683,170.51
  5. Step 5: Solve for x
    x = 25,683,170.51/4,910.34
  6. Step 6: Final answer
    x = 5,230.43

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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.