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Finding the Fourth Proportional to 4,478.33, 6,180.08 and 2,709.42

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Solution

The fourth proportional to 4,478.33, 6,180.08 and 2,709.42 is: 3,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.33 : 6,180.08 = 2,709.42 : x
  2. Step 2: Convert to fraction form
    4,478.33/6,180.08 = 2,709.42/x
  3. Step 3: Cross multiply
    4,478.33x = 6,180.08 × 2,709.42
  4. Step 4: Simplify right side
    4,478.33x = 16,744,418.81
  5. Step 5: Solve for x
    x = 16,744,418.81/4,478.33
  6. Step 6: Final answer
    x = 3,738.99

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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.