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Finding the Fourth Proportional to 5,944.50, 8,189.10 and 5,000.31

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Solution

The fourth proportional to 5,944.50, 8,189.10 and 5,000.31 is: 6,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.50 : 8,189.10 = 5,000.31 : x
  2. Step 2: Convert to fraction form
    5,944.50/8,189.10 = 5,000.31/x
  3. Step 3: Cross multiply
    5,944.50x = 8,189.10 × 5,000.31
  4. Step 4: Simplify right side
    5,944.50x = 40,948,038.62
  5. Step 5: Solve for x
    x = 40,948,038.62/5,944.50
  6. Step 6: Final answer
    x = 6,888.39

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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.