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Finding the Fourth Proportional to 4,982, 6,875.82 and 3,218.73

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Solution

The fourth proportional to 4,982, 6,875.82 and 3,218.73 is: 4,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982 : 6,875.82 = 3,218.73 : x
  2. Step 2: Convert to fraction form
    4,982/6,875.82 = 3,218.73/x
  3. Step 3: Cross multiply
    4,982x = 6,875.82 × 3,218.73
  4. Step 4: Simplify right side
    4,982x = 22,131,408.11
  5. Step 5: Solve for x
    x = 22,131,408.11/4,982
  6. Step 6: Final answer
    x = 4,442.27

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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.