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Finding the Fourth Proportional to 5,862.52, 8,094.06 and 5,231.97

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Solution

The fourth proportional to 5,862.52, 8,094.06 and 5,231.97 is: 7,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.52 : 8,094.06 = 5,231.97 : x
  2. Step 2: Convert to fraction form
    5,862.52/8,094.06 = 5,231.97/x
  3. Step 3: Cross multiply
    5,862.52x = 8,094.06 × 5,231.97
  4. Step 4: Simplify right side
    5,862.52x = 42,347,879.10
  5. Step 5: Solve for x
    x = 42,347,879.10/5,862.52
  6. Step 6: Final answer
    x = 7,223.49

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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.