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Finding the Fourth Proportional to 6,224.16, 8,589.22 and 3,535.35

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Solution

The fourth proportional to 6,224.16, 8,589.22 and 3,535.35 is: 4,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.16 : 8,589.22 = 3,535.35 : x
  2. Step 2: Convert to fraction form
    6,224.16/8,589.22 = 3,535.35/x
  3. Step 3: Cross multiply
    6,224.16x = 8,589.22 × 3,535.35
  4. Step 4: Simplify right side
    6,224.16x = 30,365,898.93
  5. Step 5: Solve for x
    x = 30,365,898.93/6,224.16
  6. Step 6: Final answer
    x = 4,878.71

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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.