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Finding the Fourth Proportional to 5,226.69, 7,205.85 and 4,477.44

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Solution

The fourth proportional to 5,226.69, 7,205.85 and 4,477.44 is: 6,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.69 : 7,205.85 = 4,477.44 : x
  2. Step 2: Convert to fraction form
    5,226.69/7,205.85 = 4,477.44/x
  3. Step 3: Cross multiply
    5,226.69x = 7,205.85 × 4,477.44
  4. Step 4: Simplify right side
    5,226.69x = 32,263,761.02
  5. Step 5: Solve for x
    x = 32,263,761.02/5,226.69
  6. Step 6: Final answer
    x = 6,172.89

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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.