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Finding the Fourth Proportional to 4,668.66, 7,000.26 and 1,747.20

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Solution

The fourth proportional to 4,668.66, 7,000.26 and 1,747.20 is: 2,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.66 : 7,000.26 = 1,747.20 : x
  2. Step 2: Convert to fraction form
    4,668.66/7,000.26 = 1,747.20/x
  3. Step 3: Cross multiply
    4,668.66x = 7,000.26 × 1,747.20
  4. Step 4: Simplify right side
    4,668.66x = 12,230,854.27
  5. Step 5: Solve for x
    x = 12,230,854.27/4,668.66
  6. Step 6: Final answer
    x = 2,619.78

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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.