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Finding the Fourth Proportional to 3,852.99, 5,781.51 and 2,099.25

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Solution

The fourth proportional to 3,852.99, 5,781.51 and 2,099.25 is: 3,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.99 : 5,781.51 = 2,099.25 : x
  2. Step 2: Convert to fraction form
    3,852.99/5,781.51 = 2,099.25/x
  3. Step 3: Cross multiply
    3,852.99x = 5,781.51 × 2,099.25
  4. Step 4: Simplify right side
    3,852.99x = 12,136,834.87
  5. Step 5: Solve for x
    x = 12,136,834.87/3,852.99
  6. Step 6: Final answer
    x = 3,149.98

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1.5x scale

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.