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Finding the Fourth Proportional to 5,984.82, 8,974.21 and 3,486.83

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Solution

The fourth proportional to 5,984.82, 8,974.21 and 3,486.83 is: 5,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.82 : 8,974.21 = 3,486.83 : x
  2. Step 2: Convert to fraction form
    5,984.82/8,974.21 = 3,486.83/x
  3. Step 3: Cross multiply
    5,984.82x = 8,974.21 × 3,486.83
  4. Step 4: Simplify right side
    5,984.82x = 31,291,544.65
  5. Step 5: Solve for x
    x = 31,291,544.65/5,984.82
  6. Step 6: Final answer
    x = 5,228.49

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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.