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Finding the Fourth Proportional to 3,728.40, 5,593.44 and 1,263.06

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Solution

The fourth proportional to 3,728.40, 5,593.44 and 1,263.06 is: 1,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.40 : 5,593.44 = 1,263.06 : x
  2. Step 2: Convert to fraction form
    3,728.40/5,593.44 = 1,263.06/x
  3. Step 3: Cross multiply
    3,728.40x = 5,593.44 × 1,263.06
  4. Step 4: Simplify right side
    3,728.40x = 7,064,850.33
  5. Step 5: Solve for x
    x = 7,064,850.33/3,728.40
  6. Step 6: Final answer
    x = 1,894.87

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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.