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Finding the Fourth Proportional to 4,857.26, 7,288.50 and 3,763.76

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Solution

The fourth proportional to 4,857.26, 7,288.50 and 3,763.76 is: 5,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.26 : 7,288.50 = 3,763.76 : x
  2. Step 2: Convert to fraction form
    4,857.26/7,288.50 = 3,763.76/x
  3. Step 3: Cross multiply
    4,857.26x = 7,288.50 × 3,763.76
  4. Step 4: Simplify right side
    4,857.26x = 27,432,164.76
  5. Step 5: Solve for x
    x = 27,432,164.76/4,857.26
  6. Step 6: Final answer
    x = 5,647.66

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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.