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Finding the Fourth Proportional to 2,994.36, 4,102.30 and 2,882.13

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Solution

The fourth proportional to 2,994.36, 4,102.30 and 2,882.13 is: 3,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.36 : 4,102.30 = 2,882.13 : x
  2. Step 2: Convert to fraction form
    2,994.36/4,102.30 = 2,882.13/x
  3. Step 3: Cross multiply
    2,994.36x = 4,102.30 × 2,882.13
  4. Step 4: Simplify right side
    2,994.36x = 11,823,347.49
  5. Step 5: Solve for x
    x = 11,823,347.49/2,994.36
  6. Step 6: Final answer
    x = 3,948.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.