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Finding the Fourth Proportional to 3,735.99, 5,603.99 and 1,138.91

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Solution

The fourth proportional to 3,735.99, 5,603.99 and 1,138.91 is: 1,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.99 : 5,603.99 = 1,138.91 : x
  2. Step 2: Convert to fraction form
    3,735.99/5,603.99 = 1,138.91/x
  3. Step 3: Cross multiply
    3,735.99x = 5,603.99 × 1,138.91
  4. Step 4: Simplify right side
    3,735.99x = 6,382,406.54
  5. Step 5: Solve for x
    x = 6,382,406.54/3,735.99
  6. Step 6: Final answer
    x = 1,708.36

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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.