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Finding the Fourth Proportional to 5,644.24, 7,789.05 and 3,091.99

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Solution

The fourth proportional to 5,644.24, 7,789.05 and 3,091.99 is: 4,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.24 : 7,789.05 = 3,091.99 : x
  2. Step 2: Convert to fraction form
    5,644.24/7,789.05 = 3,091.99/x
  3. Step 3: Cross multiply
    5,644.24x = 7,789.05 × 3,091.99
  4. Step 4: Simplify right side
    5,644.24x = 24,083,625.76
  5. Step 5: Solve for x
    x = 24,083,625.76/5,644.24
  6. Step 6: Final answer
    x = 4,266.94

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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.