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Finding the Fourth Proportional to 3,248.99, 4,874.64 and 1,057.73

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Solution

The fourth proportional to 3,248.99, 4,874.64 and 1,057.73 is: 1,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.99 : 4,874.64 = 1,057.73 : x
  2. Step 2: Convert to fraction form
    3,248.99/4,874.64 = 1,057.73/x
  3. Step 3: Cross multiply
    3,248.99x = 4,874.64 × 1,057.73
  4. Step 4: Simplify right side
    3,248.99x = 5,156,028.59
  5. Step 5: Solve for x
    x = 5,156,028.59/3,248.99
  6. Step 6: Final answer
    x = 1,586.97

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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.