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Finding the Fourth Proportional to 5,929.98, 8,177.24 and 5,093.46

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Solution

The fourth proportional to 5,929.98, 8,177.24 and 5,093.46 is: 7,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.98 : 8,177.24 = 5,093.46 : x
  2. Step 2: Convert to fraction form
    5,929.98/8,177.24 = 5,093.46/x
  3. Step 3: Cross multiply
    5,929.98x = 8,177.24 × 5,093.46
  4. Step 4: Simplify right side
    5,929.98x = 41,650,444.85
  5. Step 5: Solve for x
    x = 41,650,444.85/5,929.98
  6. Step 6: Final answer
    x = 7,023.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.