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Finding the Fourth Proportional to 5,984.70, 8,257.50 and 3,626.34

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Solution

The fourth proportional to 5,984.70, 8,257.50 and 3,626.34 is: 5,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.70 : 8,257.50 = 3,626.34 : x
  2. Step 2: Convert to fraction form
    5,984.70/8,257.50 = 3,626.34/x
  3. Step 3: Cross multiply
    5,984.70x = 8,257.50 × 3,626.34
  4. Step 4: Simplify right side
    5,984.70x = 29,944,502.55
  5. Step 5: Solve for x
    x = 29,944,502.55/5,984.70
  6. Step 6: Final answer
    x = 5,003.51

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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.