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Finding the Fourth Proportional to 3,791.95, 5,688.27 and 1,600.36

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Solution

The fourth proportional to 3,791.95, 5,688.27 and 1,600.36 is: 2,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.95 : 5,688.27 = 1,600.36 : x
  2. Step 2: Convert to fraction form
    3,791.95/5,688.27 = 1,600.36/x
  3. Step 3: Cross multiply
    3,791.95x = 5,688.27 × 1,600.36
  4. Step 4: Simplify right side
    3,791.95x = 9,103,279.78
  5. Step 5: Solve for x
    x = 9,103,279.78/3,791.95
  6. Step 6: Final answer
    x = 2,400.69

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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.