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Finding the Fourth Proportional to 5,658.43, 8,489.47 and 4,013.63

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Solution

The fourth proportional to 5,658.43, 8,489.47 and 4,013.63 is: 6,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.43 : 8,489.47 = 4,013.63 : x
  2. Step 2: Convert to fraction form
    5,658.43/8,489.47 = 4,013.63/x
  3. Step 3: Cross multiply
    5,658.43x = 8,489.47 × 4,013.63
  4. Step 4: Simplify right side
    5,658.43x = 34,073,538.99
  5. Step 5: Solve for x
    x = 34,073,538.99/5,658.43
  6. Step 6: Final answer
    x = 6,021.73

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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.