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Finding the Fourth Proportional to 5,668.52, 8,506.02 and 2,205.50

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Solution

The fourth proportional to 5,668.52, 8,506.02 and 2,205.50 is: 3,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.52 : 8,506.02 = 2,205.50 : x
  2. Step 2: Convert to fraction form
    5,668.52/8,506.02 = 2,205.50/x
  3. Step 3: Cross multiply
    5,668.52x = 8,506.02 × 2,205.50
  4. Step 4: Simplify right side
    5,668.52x = 18,760,027.11
  5. Step 5: Solve for x
    x = 18,760,027.11/5,668.52
  6. Step 6: Final answer
    x = 3,309.51

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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.