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Finding the Fourth Proportional to 5,822.39, 8,716.75 and 5,221.46

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Solution

The fourth proportional to 5,822.39, 8,716.75 and 5,221.46 is: 7,817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.39 : 8,716.75 = 5,221.46 : x
  2. Step 2: Convert to fraction form
    5,822.39/8,716.75 = 5,221.46/x
  3. Step 3: Cross multiply
    5,822.39x = 8,716.75 × 5,221.46
  4. Step 4: Simplify right side
    5,822.39x = 45,514,170.19
  5. Step 5: Solve for x
    x = 45,514,170.19/5,822.39
  6. Step 6: Final answer
    x = 7,817.09

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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.