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Finding the Fourth Proportional to 3,134.91, 4,679.49 and 2,906.49

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Solution

The fourth proportional to 3,134.91, 4,679.49 and 2,906.49 is: 4,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.91 : 4,679.49 = 2,906.49 : x
  2. Step 2: Convert to fraction form
    3,134.91/4,679.49 = 2,906.49/x
  3. Step 3: Cross multiply
    3,134.91x = 4,679.49 × 2,906.49
  4. Step 4: Simplify right side
    3,134.91x = 13,600,890.89
  5. Step 5: Solve for x
    x = 13,600,890.89/3,134.91
  6. Step 6: Final answer
    x = 4,338.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.