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Finding the Fourth Proportional to 5,191.98, 7,769.34 and 4,844.40

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Solution

The fourth proportional to 5,191.98, 7,769.34 and 4,844.40 is: 7,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.98 : 7,769.34 = 4,844.40 : x
  2. Step 2: Convert to fraction form
    5,191.98/7,769.34 = 4,844.40/x
  3. Step 3: Cross multiply
    5,191.98x = 7,769.34 × 4,844.40
  4. Step 4: Simplify right side
    5,191.98x = 37,637,790.70
  5. Step 5: Solve for x
    x = 37,637,790.70/5,191.98
  6. Step 6: Final answer
    x = 7,249.22

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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.