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Finding the Fourth Proportional to 3,953.38, 5,455.77 and 2,275.11

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Solution

The fourth proportional to 3,953.38, 5,455.77 and 2,275.11 is: 3,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.38 : 5,455.77 = 2,275.11 : x
  2. Step 2: Convert to fraction form
    3,953.38/5,455.77 = 2,275.11/x
  3. Step 3: Cross multiply
    3,953.38x = 5,455.77 × 2,275.11
  4. Step 4: Simplify right side
    3,953.38x = 12,412,476.88
  5. Step 5: Solve for x
    x = 12,412,476.88/3,953.38
  6. Step 6: Final answer
    x = 3,139.71

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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.