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Finding the Fourth Proportional to 5,898.46, 8,849.05 and 2,002.86

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Solution

The fourth proportional to 5,898.46, 8,849.05 and 2,002.86 is: 3,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.46 : 8,849.05 = 2,002.86 : x
  2. Step 2: Convert to fraction form
    5,898.46/8,849.05 = 2,002.86/x
  3. Step 3: Cross multiply
    5,898.46x = 8,849.05 × 2,002.86
  4. Step 4: Simplify right side
    5,898.46x = 17,723,398.27
  5. Step 5: Solve for x
    x = 17,723,398.27/5,898.46
  6. Step 6: Final answer
    x = 3,004.75

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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.