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Finding the Fourth Proportional to 6,219.93, 8,578.67 and 3,701.78

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Solution

The fourth proportional to 6,219.93, 8,578.67 and 3,701.78 is: 5,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.93 : 8,578.67 = 3,701.78 : x
  2. Step 2: Convert to fraction form
    6,219.93/8,578.67 = 3,701.78/x
  3. Step 3: Cross multiply
    6,219.93x = 8,578.67 × 3,701.78
  4. Step 4: Simplify right side
    6,219.93x = 31,756,287.63
  5. Step 5: Solve for x
    x = 31,756,287.63/6,219.93
  6. Step 6: Final answer
    x = 5,105.57

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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.