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Finding the Fourth Proportional to 5,822.86, 8,729.68 and 3,354.80

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Solution

The fourth proportional to 5,822.86, 8,729.68 and 3,354.80 is: 5,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.86 : 8,729.68 = 3,354.80 : x
  2. Step 2: Convert to fraction form
    5,822.86/8,729.68 = 3,354.80/x
  3. Step 3: Cross multiply
    5,822.86x = 8,729.68 × 3,354.80
  4. Step 4: Simplify right side
    5,822.86x = 29,286,330.46
  5. Step 5: Solve for x
    x = 29,286,330.46/5,822.86
  6. Step 6: Final answer
    x = 5,029.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.