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Finding the Fourth Proportional to 3,791.45, 5,237.31 and 3,437.77

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Solution

The fourth proportional to 3,791.45, 5,237.31 and 3,437.77 is: 4,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.45 : 5,237.31 = 3,437.77 : x
  2. Step 2: Convert to fraction form
    3,791.45/5,237.31 = 3,437.77/x
  3. Step 3: Cross multiply
    3,791.45x = 5,237.31 × 3,437.77
  4. Step 4: Simplify right side
    3,791.45x = 18,004,657.48
  5. Step 5: Solve for x
    x = 18,004,657.48/3,791.45
  6. Step 6: Final answer
    x = 4,748.75

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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.