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Finding the Fourth Proportional to 5,786.96, 8,683.98 and 2,499.98

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Solution

The fourth proportional to 5,786.96, 8,683.98 and 2,499.98 is: 3,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.96 : 8,683.98 = 2,499.98 : x
  2. Step 2: Convert to fraction form
    5,786.96/8,683.98 = 2,499.98/x
  3. Step 3: Cross multiply
    5,786.96x = 8,683.98 × 2,499.98
  4. Step 4: Simplify right side
    5,786.96x = 21,709,723.53
  5. Step 5: Solve for x
    x = 21,709,723.53/5,786.96
  6. Step 6: Final answer
    x = 3,751.49

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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.