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Finding the Fourth Proportional to 5,198.56, 7,800.54 and 2,424.43

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Solution

The fourth proportional to 5,198.56, 7,800.54 and 2,424.43 is: 3,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.56 : 7,800.54 = 2,424.43 : x
  2. Step 2: Convert to fraction form
    5,198.56/7,800.54 = 2,424.43/x
  3. Step 3: Cross multiply
    5,198.56x = 7,800.54 × 2,424.43
  4. Step 4: Simplify right side
    5,198.56x = 18,911,863.19
  5. Step 5: Solve for x
    x = 18,911,863.19/5,198.56
  6. Step 6: Final answer
    x = 3,637.90

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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.