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Finding the Fourth Proportional to 5,822.91, 8,737.86 and 2,125.46

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Solution

The fourth proportional to 5,822.91, 8,737.86 and 2,125.46 is: 3,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.91 : 8,737.86 = 2,125.46 : x
  2. Step 2: Convert to fraction form
    5,822.91/8,737.86 = 2,125.46/x
  3. Step 3: Cross multiply
    5,822.91x = 8,737.86 × 2,125.46
  4. Step 4: Simplify right side
    5,822.91x = 18,571,971.92
  5. Step 5: Solve for x
    x = 18,571,971.92/5,822.91
  6. Step 6: Final answer
    x = 3,189.47

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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.