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Finding the Fourth Proportional to 5,735.43, 8,603.28 and 1,839.87

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Solution

The fourth proportional to 5,735.43, 8,603.28 and 1,839.87 is: 2,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.43 : 8,603.28 = 1,839.87 : x
  2. Step 2: Convert to fraction form
    5,735.43/8,603.28 = 1,839.87/x
  3. Step 3: Cross multiply
    5,735.43x = 8,603.28 × 1,839.87
  4. Step 4: Simplify right side
    5,735.43x = 15,828,916.77
  5. Step 5: Solve for x
    x = 15,828,916.77/5,735.43
  6. Step 6: Final answer
    x = 2,759.85

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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.