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Finding the Fourth Proportional to 3,096.48, 4,266.72 and 2,882.40

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Solution

The fourth proportional to 3,096.48, 4,266.72 and 2,882.40 is: 3,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.48 : 4,266.72 = 2,882.40 : x
  2. Step 2: Convert to fraction form
    3,096.48/4,266.72 = 2,882.40/x
  3. Step 3: Cross multiply
    3,096.48x = 4,266.72 × 2,882.40
  4. Step 4: Simplify right side
    3,096.48x = 12,298,393.73
  5. Step 5: Solve for x
    x = 12,298,393.73/3,096.48
  6. Step 6: Final answer
    x = 3,971.73

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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.