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Finding the Fourth Proportional to 5,862.40, 8,093.89 and 5,231.85

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Solution

The fourth proportional to 5,862.40, 8,093.89 and 5,231.85 is: 7,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.40 : 8,093.89 = 5,231.85 : x
  2. Step 2: Convert to fraction form
    5,862.40/8,093.89 = 5,231.85/x
  3. Step 3: Cross multiply
    5,862.40x = 8,093.89 × 5,231.85
  4. Step 4: Simplify right side
    5,862.40x = 42,345,951.77
  5. Step 5: Solve for x
    x = 42,345,951.77/5,862.40
  6. Step 6: Final answer
    x = 7,223.31

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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.