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Finding the Fourth Proportional to 5,046.89, 6,961.83 and 3,029.77

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Solution

The fourth proportional to 5,046.89, 6,961.83 and 3,029.77 is: 4,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.89 : 6,961.83 = 3,029.77 : x
  2. Step 2: Convert to fraction form
    5,046.89/6,961.83 = 3,029.77/x
  3. Step 3: Cross multiply
    5,046.89x = 6,961.83 × 3,029.77
  4. Step 4: Simplify right side
    5,046.89x = 21,092,743.68
  5. Step 5: Solve for x
    x = 21,092,743.68/5,046.89
  6. Step 6: Final answer
    x = 4,179.35

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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.