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Finding the Fourth Proportional to 5,267.64, 7,269.35 and 3,029.97

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Solution

The fourth proportional to 5,267.64, 7,269.35 and 3,029.97 is: 4,181.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.64 : 7,269.35 = 3,029.97 : x
  2. Step 2: Convert to fraction form
    5,267.64/7,269.35 = 3,029.97/x
  3. Step 3: Cross multiply
    5,267.64x = 7,269.35 × 3,029.97
  4. Step 4: Simplify right side
    5,267.64x = 22,025,912.42
  5. Step 5: Solve for x
    x = 22,025,912.42/5,267.64
  6. Step 6: Final answer
    x = 4,181.36

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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.