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Finding the Fourth Proportional to 5,890.23, 8,129.31 and 3,800.43

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Solution

The fourth proportional to 5,890.23, 8,129.31 and 3,800.43 is: 5,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.23 : 8,129.31 = 3,800.43 : x
  2. Step 2: Convert to fraction form
    5,890.23/8,129.31 = 3,800.43/x
  3. Step 3: Cross multiply
    5,890.23x = 8,129.31 × 3,800.43
  4. Step 4: Simplify right side
    5,890.23x = 30,894,873.60
  5. Step 5: Solve for x
    x = 30,894,873.60/5,890.23
  6. Step 6: Final answer
    x = 5,245.10

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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.