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Finding the Fourth Proportional to 5,083.68, 7,628.13 and 3,850.68

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Solution

The fourth proportional to 5,083.68, 7,628.13 and 3,850.68 is: 5,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.68 : 7,628.13 = 3,850.68 : x
  2. Step 2: Convert to fraction form
    5,083.68/7,628.13 = 3,850.68/x
  3. Step 3: Cross multiply
    5,083.68x = 7,628.13 × 3,850.68
  4. Step 4: Simplify right side
    5,083.68x = 29,373,487.63
  5. Step 5: Solve for x
    x = 29,373,487.63/5,083.68
  6. Step 6: Final answer
    x = 5,778.00

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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.