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Finding the Fourth Proportional to 3,762.29, 5,639.75 and 1,296.44

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Solution

The fourth proportional to 3,762.29, 5,639.75 and 1,296.44 is: 1,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.29 : 5,639.75 = 1,296.44 : x
  2. Step 2: Convert to fraction form
    3,762.29/5,639.75 = 1,296.44/x
  3. Step 3: Cross multiply
    3,762.29x = 5,639.75 × 1,296.44
  4. Step 4: Simplify right side
    3,762.29x = 7,311,562.81
  5. Step 5: Solve for x
    x = 7,311,562.81/3,762.29
  6. Step 6: Final answer
    x = 1,943.38

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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.