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Finding the Fourth Proportional to 5,735.93, 8,603.08 and 1,839.83

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Solution

The fourth proportional to 5,735.93, 8,603.08 and 1,839.83 is: 2,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.93 : 8,603.08 = 1,839.83 : x
  2. Step 2: Convert to fraction form
    5,735.93/8,603.08 = 1,839.83/x
  3. Step 3: Cross multiply
    5,735.93x = 8,603.08 × 1,839.83
  4. Step 4: Simplify right side
    5,735.93x = 15,828,183.17
  5. Step 5: Solve for x
    x = 15,828,183.17/5,735.93
  6. Step 6: Final answer
    x = 2,759.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.