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Finding the Fourth Proportional to 4,634, 6,394.92 and 2,538.14

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Solution

The fourth proportional to 4,634, 6,394.92 and 2,538.14 is: 3,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634 : 6,394.92 = 2,538.14 : x
  2. Step 2: Convert to fraction form
    4,634/6,394.92 = 2,538.14/x
  3. Step 3: Cross multiply
    4,634x = 6,394.92 × 2,538.14
  4. Step 4: Simplify right side
    4,634x = 16,231,202.25
  5. Step 5: Solve for x
    x = 16,231,202.25/4,634
  6. Step 6: Final answer
    x = 3,502.63

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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.