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Finding the Fourth Proportional to 4,186.65, 5,777.67 and 2,508.21

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Solution

The fourth proportional to 4,186.65, 5,777.67 and 2,508.21 is: 3,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.65 : 5,777.67 = 2,508.21 : x
  2. Step 2: Convert to fraction form
    4,186.65/5,777.67 = 2,508.21/x
  3. Step 3: Cross multiply
    4,186.65x = 5,777.67 × 2,508.21
  4. Step 4: Simplify right side
    4,186.65x = 14,491,609.67
  5. Step 5: Solve for x
    x = 14,491,609.67/4,186.65
  6. Step 6: Final answer
    x = 3,461.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.