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Finding the Fourth Proportional to 6,222.55, 8,584.33 and 4,205.32

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Solution

The fourth proportional to 6,222.55, 8,584.33 and 4,205.32 is: 5,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.55 : 8,584.33 = 4,205.32 : x
  2. Step 2: Convert to fraction form
    6,222.55/8,584.33 = 4,205.32/x
  3. Step 3: Cross multiply
    6,222.55x = 8,584.33 × 4,205.32
  4. Step 4: Simplify right side
    6,222.55x = 36,099,854.64
  5. Step 5: Solve for x
    x = 36,099,854.64/6,222.55
  6. Step 6: Final answer
    x = 5,801.46

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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.