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Finding the Fourth Proportional to 5,902.49, 8,145.49 and 3,249.91

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Solution

The fourth proportional to 5,902.49, 8,145.49 and 3,249.91 is: 4,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.49 : 8,145.49 = 3,249.91 : x
  2. Step 2: Convert to fraction form
    5,902.49/8,145.49 = 3,249.91/x
  3. Step 3: Cross multiply
    5,902.49x = 8,145.49 × 3,249.91
  4. Step 4: Simplify right side
    5,902.49x = 26,472,109.41
  5. Step 5: Solve for x
    x = 26,472,109.41/5,902.49
  6. Step 6: Final answer
    x = 4,484.91

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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.