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Finding the Fourth Proportional to 5,822.86, 8,737.88 and 3,744.19

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Solution

The fourth proportional to 5,822.86, 8,737.88 and 3,744.19 is: 5,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.86 : 8,737.88 = 3,744.19 : x
  2. Step 2: Convert to fraction form
    5,822.86/8,737.88 = 3,744.19/x
  3. Step 3: Cross multiply
    5,822.86x = 8,737.88 × 3,744.19
  4. Step 4: Simplify right side
    5,822.86x = 32,716,282.92
  5. Step 5: Solve for x
    x = 32,716,282.92/5,822.86
  6. Step 6: Final answer
    x = 5,618.59

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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.