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Finding the Fourth Proportional to 5,733.00, 8,609.04 and 3,870.89

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Solution

The fourth proportional to 5,733.00, 8,609.04 and 3,870.89 is: 5,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.00 : 8,609.04 = 3,870.89 : x
  2. Step 2: Convert to fraction form
    5,733.00/8,609.04 = 3,870.89/x
  3. Step 3: Cross multiply
    5,733.00x = 8,609.04 × 3,870.89
  4. Step 4: Simplify right side
    5,733.00x = 33,324,646.85
  5. Step 5: Solve for x
    x = 33,324,646.85/5,733.00
  6. Step 6: Final answer
    x = 5,812.78

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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.