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Finding the Fourth Proportional to 5,297.31, 7,311.24 and 3,058.88

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Solution

The fourth proportional to 5,297.31, 7,311.24 and 3,058.88 is: 4,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.31 : 7,311.24 = 3,058.88 : x
  2. Step 2: Convert to fraction form
    5,297.31/7,311.24 = 3,058.88/x
  3. Step 3: Cross multiply
    5,297.31x = 7,311.24 × 3,058.88
  4. Step 4: Simplify right side
    5,297.31x = 22,364,169.26
  5. Step 5: Solve for x
    x = 22,364,169.26/5,297.31
  6. Step 6: Final answer
    x = 4,221.80

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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.