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Finding the Fourth Proportional to 5,822.32, 8,027.22 and 5,239.12

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Solution

The fourth proportional to 5,822.32, 8,027.22 and 5,239.12 is: 7,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.32 : 8,027.22 = 5,239.12 : x
  2. Step 2: Convert to fraction form
    5,822.32/8,027.22 = 5,239.12/x
  3. Step 3: Cross multiply
    5,822.32x = 8,027.22 × 5,239.12
  4. Step 4: Simplify right side
    5,822.32x = 42,055,568.85
  5. Step 5: Solve for x
    x = 42,055,568.85/5,822.32
  6. Step 6: Final answer
    x = 7,223.16

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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.