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Finding the Fourth Proportional to 5,299.56, 7,946.22 and 2,010.54

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Solution

The fourth proportional to 5,299.56, 7,946.22 and 2,010.54 is: 3,014.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.56 : 7,946.22 = 2,010.54 : x
  2. Step 2: Convert to fraction form
    5,299.56/7,946.22 = 2,010.54/x
  3. Step 3: Cross multiply
    5,299.56x = 7,946.22 × 2,010.54
  4. Step 4: Simplify right side
    5,299.56x = 15,976,193.16
  5. Step 5: Solve for x
    x = 15,976,193.16/5,299.56
  6. Step 6: Final answer
    x = 3,014.63

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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.