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Finding the Fourth Proportional to 3,027.79, 4,536.82 and 2,914

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Solution

The fourth proportional to 3,027.79, 4,536.82 and 2,914 is: 4,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.79 : 4,536.82 = 2,914 : x
  2. Step 2: Convert to fraction form
    3,027.79/4,536.82 = 2,914/x
  3. Step 3: Cross multiply
    3,027.79x = 4,536.82 × 2,914
  4. Step 4: Simplify right side
    3,027.79x = 13,220,293.48
  5. Step 5: Solve for x
    x = 13,220,293.48/3,027.79
  6. Step 6: Final answer
    x = 4,366.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.