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Finding the Fourth Proportional to 5,297.81, 7,310.25 and 3,029.06

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Solution

The fourth proportional to 5,297.81, 7,310.25 and 3,029.06 is: 4,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.81 : 7,310.25 = 3,029.06 : x
  2. Step 2: Convert to fraction form
    5,297.81/7,310.25 = 3,029.06/x
  3. Step 3: Cross multiply
    5,297.81x = 7,310.25 × 3,029.06
  4. Step 4: Simplify right side
    5,297.81x = 22,143,204.14
  5. Step 5: Solve for x
    x = 22,143,204.14/5,297.81
  6. Step 6: Final answer
    x = 4,179.69

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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.