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Finding the Fourth Proportional to 5,105.72, 7,607.22 and 4,770.38

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Solution

The fourth proportional to 5,105.72, 7,607.22 and 4,770.38 is: 7,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.72 : 7,607.22 = 4,770.38 : x
  2. Step 2: Convert to fraction form
    5,105.72/7,607.22 = 4,770.38/x
  3. Step 3: Cross multiply
    5,105.72x = 7,607.22 × 4,770.38
  4. Step 4: Simplify right side
    5,105.72x = 36,289,292.11
  5. Step 5: Solve for x
    x = 36,289,292.11/5,105.72
  6. Step 6: Final answer
    x = 7,107.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.