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Finding the Fourth Proportional to 5,754.83, 8,637.30 and 3,411.90

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Solution

The fourth proportional to 5,754.83, 8,637.30 and 3,411.90 is: 5,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.83 : 8,637.30 = 3,411.90 : x
  2. Step 2: Convert to fraction form
    5,754.83/8,637.30 = 3,411.90/x
  3. Step 3: Cross multiply
    5,754.83x = 8,637.30 × 3,411.90
  4. Step 4: Simplify right side
    5,754.83x = 29,469,603.87
  5. Step 5: Solve for x
    x = 29,469,603.87/5,754.83
  6. Step 6: Final answer
    x = 5,120.85

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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.