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Finding the Fourth Proportional to 5,534.52, 8,297.52 and 2,758.24

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Solution

The fourth proportional to 5,534.52, 8,297.52 and 2,758.24 is: 4,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.52 : 8,297.52 = 2,758.24 : x
  2. Step 2: Convert to fraction form
    5,534.52/8,297.52 = 2,758.24/x
  3. Step 3: Cross multiply
    5,534.52x = 8,297.52 × 2,758.24
  4. Step 4: Simplify right side
    5,534.52x = 22,886,551.56
  5. Step 5: Solve for x
    x = 22,886,551.56/5,534.52
  6. Step 6: Final answer
    x = 4,135.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.