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Finding the Fourth Proportional to 5,993.49, 8,989.19 and 1,609.93

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Solution

The fourth proportional to 5,993.49, 8,989.19 and 1,609.93 is: 2,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.49 : 8,989.19 = 1,609.93 : x
  2. Step 2: Convert to fraction form
    5,993.49/8,989.19 = 1,609.93/x
  3. Step 3: Cross multiply
    5,993.49x = 8,989.19 × 1,609.93
  4. Step 4: Simplify right side
    5,993.49x = 14,471,966.66
  5. Step 5: Solve for x
    x = 14,471,966.66/5,993.49
  6. Step 6: Final answer
    x = 2,414.61

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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.