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Finding the Fourth Proportional to 5,723.87, 8,600.18 and 3,644.82

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Solution

The fourth proportional to 5,723.87, 8,600.18 and 3,644.82 is: 5,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.87 : 8,600.18 = 3,644.82 : x
  2. Step 2: Convert to fraction form
    5,723.87/8,600.18 = 3,644.82/x
  3. Step 3: Cross multiply
    5,723.87x = 8,600.18 × 3,644.82
  4. Step 4: Simplify right side
    5,723.87x = 31,346,089.84
  5. Step 5: Solve for x
    x = 31,346,089.84/5,723.87
  6. Step 6: Final answer
    x = 5,476.39

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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.