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Finding the Fourth Proportional to 4,302.77, 5,933.15 and 3,738.25

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Solution

The fourth proportional to 4,302.77, 5,933.15 and 3,738.25 is: 5,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.77 : 5,933.15 = 3,738.25 : x
  2. Step 2: Convert to fraction form
    4,302.77/5,933.15 = 3,738.25/x
  3. Step 3: Cross multiply
    4,302.77x = 5,933.15 × 3,738.25
  4. Step 4: Simplify right side
    4,302.77x = 22,179,600.73
  5. Step 5: Solve for x
    x = 22,179,600.73/4,302.77
  6. Step 6: Final answer
    x = 5,154.73

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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.