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Finding the Fourth Proportional to 3,374.54, 5,036.82 and 3,166.78

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Solution

The fourth proportional to 3,374.54, 5,036.82 and 3,166.78 is: 4,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.54 : 5,036.82 = 3,166.78 : x
  2. Step 2: Convert to fraction form
    3,374.54/5,036.82 = 3,166.78/x
  3. Step 3: Cross multiply
    3,374.54x = 5,036.82 × 3,166.78
  4. Step 4: Simplify right side
    3,374.54x = 15,950,500.84
  5. Step 5: Solve for x
    x = 15,950,500.84/3,374.54
  6. Step 6: Final answer
    x = 4,726.72

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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.