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Finding the Fourth Proportional to 5,310.24, 7,361.52 and 5,029.20

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Solution

The fourth proportional to 5,310.24, 7,361.52 and 5,029.20 is: 6,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.24 : 7,361.52 = 5,029.20 : x
  2. Step 2: Convert to fraction form
    5,310.24/7,361.52 = 5,029.20/x
  3. Step 3: Cross multiply
    5,310.24x = 7,361.52 × 5,029.20
  4. Step 4: Simplify right side
    5,310.24x = 37,022,556.38
  5. Step 5: Solve for x
    x = 37,022,556.38/5,310.24
  6. Step 6: Final answer
    x = 6,971.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.