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Finding the Fourth Proportional to 3,454.86, 4,766.67 and 3,122.22

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Solution

The fourth proportional to 3,454.86, 4,766.67 and 3,122.22 is: 4,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.86 : 4,766.67 = 3,122.22 : x
  2. Step 2: Convert to fraction form
    3,454.86/4,766.67 = 3,122.22/x
  3. Step 3: Cross multiply
    3,454.86x = 4,766.67 × 3,122.22
  4. Step 4: Simplify right side
    3,454.86x = 14,882,592.41
  5. Step 5: Solve for x
    x = 14,882,592.41/3,454.86
  6. Step 6: Final answer
    x = 4,307.73

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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.