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Finding the Fourth Proportional to 3,898.99, 5,849.24 and 1,433.83

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Solution

The fourth proportional to 3,898.99, 5,849.24 and 1,433.83 is: 2,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.99 : 5,849.24 = 1,433.83 : x
  2. Step 2: Convert to fraction form
    3,898.99/5,849.24 = 1,433.83/x
  3. Step 3: Cross multiply
    3,898.99x = 5,849.24 × 1,433.83
  4. Step 4: Simplify right side
    3,898.99x = 8,386,815.79
  5. Step 5: Solve for x
    x = 8,386,815.79/3,898.99
  6. Step 6: Final answer
    x = 2,151.02

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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.