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Finding the Fourth Proportional to 4,508.38, 6,214.13 and 3,015.76

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Solution

The fourth proportional to 4,508.38, 6,214.13 and 3,015.76 is: 4,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508.38 : 6,214.13 = 3,015.76 : x
  2. Step 2: Convert to fraction form
    4,508.38/6,214.13 = 3,015.76/x
  3. Step 3: Cross multiply
    4,508.38x = 6,214.13 × 3,015.76
  4. Step 4: Simplify right side
    4,508.38x = 18,740,324.69
  5. Step 5: Solve for x
    x = 18,740,324.69/4,508.38
  6. Step 6: Final answer
    x = 4,156.78

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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.