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Finding the Fourth Proportional to 5,906.22, 8,813.25 and 5,382.25

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Solution

The fourth proportional to 5,906.22, 8,813.25 and 5,382.25 is: 8,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.22 : 8,813.25 = 5,382.25 : x
  2. Step 2: Convert to fraction form
    5,906.22/8,813.25 = 5,382.25/x
  3. Step 3: Cross multiply
    5,906.22x = 8,813.25 × 5,382.25
  4. Step 4: Simplify right side
    5,906.22x = 47,435,114.81
  5. Step 5: Solve for x
    x = 47,435,114.81/5,906.22
  6. Step 6: Final answer
    x = 8,031.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.