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Finding the Fourth Proportional to 5,199.36, 7,180.16 and 4,448.90

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Solution

The fourth proportional to 5,199.36, 7,180.16 and 4,448.90 is: 6,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.36 : 7,180.16 = 4,448.90 : x
  2. Step 2: Convert to fraction form
    5,199.36/7,180.16 = 4,448.90/x
  3. Step 3: Cross multiply
    5,199.36x = 7,180.16 × 4,448.90
  4. Step 4: Simplify right side
    5,199.36x = 31,943,755.68
  5. Step 5: Solve for x
    x = 31,943,755.68/5,199.36
  6. Step 6: Final answer
    x = 6,143.79

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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.