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Finding the Fourth Proportional to 5,949.91, 8,206.81 and 3,465.91

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Solution

The fourth proportional to 5,949.91, 8,206.81 and 3,465.91 is: 4,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.91 : 8,206.81 = 3,465.91 : x
  2. Step 2: Convert to fraction form
    5,949.91/8,206.81 = 3,465.91/x
  3. Step 3: Cross multiply
    5,949.91x = 8,206.81 × 3,465.91
  4. Step 4: Simplify right side
    5,949.91x = 28,444,064.85
  5. Step 5: Solve for x
    x = 28,444,064.85/5,949.91
  6. Step 6: Final answer
    x = 4,780.59

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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.