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Finding the Fourth Proportional to 6,220.24, 8,584.10 and 3,568.16

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Solution

The fourth proportional to 6,220.24, 8,584.10 and 3,568.16 is: 4,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,220.24 : 8,584.10 = 3,568.16 : x
  2. Step 2: Convert to fraction form
    6,220.24/8,584.10 = 3,568.16/x
  3. Step 3: Cross multiply
    6,220.24x = 8,584.10 × 3,568.16
  4. Step 4: Simplify right side
    6,220.24x = 30,629,442.26
  5. Step 5: Solve for x
    x = 30,629,442.26/6,220.24
  6. Step 6: Final answer
    x = 4,924.16

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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.