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Finding the Fourth Proportional to 3,629.86, 5,008.89 and 2,057.86

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Solution

The fourth proportional to 3,629.86, 5,008.89 and 2,057.86 is: 2,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.86 : 5,008.89 = 2,057.86 : x
  2. Step 2: Convert to fraction form
    3,629.86/5,008.89 = 2,057.86/x
  3. Step 3: Cross multiply
    3,629.86x = 5,008.89 × 2,057.86
  4. Step 4: Simplify right side
    3,629.86x = 10,307,594.38
  5. Step 5: Solve for x
    x = 10,307,594.38/3,629.86
  6. Step 6: Final answer
    x = 2,839.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.