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Finding the Fourth Proportional to 5,144.52, 7,694.80 and 4,295.05

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Solution

The fourth proportional to 5,144.52, 7,694.80 and 4,295.05 is: 6,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.52 : 7,694.80 = 4,295.05 : x
  2. Step 2: Convert to fraction form
    5,144.52/7,694.80 = 4,295.05/x
  3. Step 3: Cross multiply
    5,144.52x = 7,694.80 × 4,295.05
  4. Step 4: Simplify right side
    5,144.52x = 33,049,529.26
  5. Step 5: Solve for x
    x = 33,049,529.26/5,144.52
  6. Step 6: Final answer
    x = 6,424.23

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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.