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Finding the Fourth Proportional to 5,252.74, 7,238.80 and 3,758.06

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Solution

The fourth proportional to 5,252.74, 7,238.80 and 3,758.06 is: 5,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.74 : 7,238.80 = 3,758.06 : x
  2. Step 2: Convert to fraction form
    5,252.74/7,238.80 = 3,758.06/x
  3. Step 3: Cross multiply
    5,252.74x = 7,238.80 × 3,758.06
  4. Step 4: Simplify right side
    5,252.74x = 27,203,844.73
  5. Step 5: Solve for x
    x = 27,203,844.73/5,252.74
  6. Step 6: Final answer
    x = 5,178.98

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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.