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Finding the Fourth Proportional to 2,972.88, 4,104.12 and 2,776.56

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Solution

The fourth proportional to 2,972.88, 4,104.12 and 2,776.56 is: 3,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.88 : 4,104.12 = 2,776.56 : x
  2. Step 2: Convert to fraction form
    2,972.88/4,104.12 = 2,776.56/x
  3. Step 3: Cross multiply
    2,972.88x = 4,104.12 × 2,776.56
  4. Step 4: Simplify right side
    2,972.88x = 11,395,335.43
  5. Step 5: Solve for x
    x = 11,395,335.43/2,972.88
  6. Step 6: Final answer
    x = 3,833.10

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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.