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Finding the Fourth Proportional to 5,234.52, 7,855.23 and 1,947.66

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Solution

The fourth proportional to 5,234.52, 7,855.23 and 1,947.66 is: 2,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.52 : 7,855.23 = 1,947.66 : x
  2. Step 2: Convert to fraction form
    5,234.52/7,855.23 = 1,947.66/x
  3. Step 3: Cross multiply
    5,234.52x = 7,855.23 × 1,947.66
  4. Step 4: Simplify right side
    5,234.52x = 15,299,317.26
  5. Step 5: Solve for x
    x = 15,299,317.26/5,234.52
  6. Step 6: Final answer
    x = 2,922.77

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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.