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Finding the Fourth Proportional to 5,974.19, 8,249.21 and 5,343.60

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Solution

The fourth proportional to 5,974.19, 8,249.21 and 5,343.60 is: 7,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.19 : 8,249.21 = 5,343.60 : x
  2. Step 2: Convert to fraction form
    5,974.19/8,249.21 = 5,343.60/x
  3. Step 3: Cross multiply
    5,974.19x = 8,249.21 × 5,343.60
  4. Step 4: Simplify right side
    5,974.19x = 44,080,451.84
  5. Step 5: Solve for x
    x = 44,080,451.84/5,974.19
  6. Step 6: Final answer
    x = 7,378.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.