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Finding the Fourth Proportional to 4,895.66, 6,758.21 and 2,906.87

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Solution

The fourth proportional to 4,895.66, 6,758.21 and 2,906.87 is: 4,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.66 : 6,758.21 = 2,906.87 : x
  2. Step 2: Convert to fraction form
    4,895.66/6,758.21 = 2,906.87/x
  3. Step 3: Cross multiply
    4,895.66x = 6,758.21 × 2,906.87
  4. Step 4: Simplify right side
    4,895.66x = 19,645,211.38
  5. Step 5: Solve for x
    x = 19,645,211.38/4,895.66
  6. Step 6: Final answer
    x = 4,012.78

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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.