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Finding the Fourth Proportional to 3,738.45, 5,593.98 and 3,120.63

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Solution

The fourth proportional to 3,738.45, 5,593.98 and 3,120.63 is: 4,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.45 : 5,593.98 = 3,120.63 : x
  2. Step 2: Convert to fraction form
    3,738.45/5,593.98 = 3,120.63/x
  3. Step 3: Cross multiply
    3,738.45x = 5,593.98 × 3,120.63
  4. Step 4: Simplify right side
    3,738.45x = 17,456,741.81
  5. Step 5: Solve for x
    x = 17,456,741.81/3,738.45
  6. Step 6: Final answer
    x = 4,669.51

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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.