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Finding the Fourth Proportional to 4,613.85, 6,367.10 and 2,624.42

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Solution

The fourth proportional to 4,613.85, 6,367.10 and 2,624.42 is: 3,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.85 : 6,367.10 = 2,624.42 : x
  2. Step 2: Convert to fraction form
    4,613.85/6,367.10 = 2,624.42/x
  3. Step 3: Cross multiply
    4,613.85x = 6,367.10 × 2,624.42
  4. Step 4: Simplify right side
    4,613.85x = 16,709,947.38
  5. Step 5: Solve for x
    x = 16,709,947.38/4,613.85
  6. Step 6: Final answer
    x = 3,621.69

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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.