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Finding the Fourth Proportional to 4,222.95, 6,333.86 and 1,103.21

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Solution

The fourth proportional to 4,222.95, 6,333.86 and 1,103.21 is: 1,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.95 : 6,333.86 = 1,103.21 : x
  2. Step 2: Convert to fraction form
    4,222.95/6,333.86 = 1,103.21/x
  3. Step 3: Cross multiply
    4,222.95x = 6,333.86 × 1,103.21
  4. Step 4: Simplify right side
    4,222.95x = 6,987,540.51
  5. Step 5: Solve for x
    x = 6,987,540.51/4,222.95
  6. Step 6: Final answer
    x = 1,654.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.