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Finding the Fourth Proportional to 4,166.66, 6,249.53 and 1,668.90

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Solution

The fourth proportional to 4,166.66, 6,249.53 and 1,668.90 is: 2,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.66 : 6,249.53 = 1,668.90 : x
  2. Step 2: Convert to fraction form
    4,166.66/6,249.53 = 1,668.90/x
  3. Step 3: Cross multiply
    4,166.66x = 6,249.53 × 1,668.90
  4. Step 4: Simplify right side
    4,166.66x = 10,429,815.49
  5. Step 5: Solve for x
    x = 10,429,815.49/4,166.66
  6. Step 6: Final answer
    x = 2,503.16

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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.