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Finding the Fourth Proportional to 4,982.55, 6,868.41 and 4,096.82

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Solution

The fourth proportional to 4,982.55, 6,868.41 and 4,096.82 is: 5,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.55 : 6,868.41 = 4,096.82 : x
  2. Step 2: Convert to fraction form
    4,982.55/6,868.41 = 4,096.82/x
  3. Step 3: Cross multiply
    4,982.55x = 6,868.41 × 4,096.82
  4. Step 4: Simplify right side
    4,982.55x = 28,138,639.46
  5. Step 5: Solve for x
    x = 28,138,639.46/4,982.55
  6. Step 6: Final answer
    x = 5,647.44

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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.