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Finding the Fourth Proportional to 4,634.01, 6,949.80 and 1,713.15

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Solution

The fourth proportional to 4,634.01, 6,949.80 and 1,713.15 is: 2,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.01 : 6,949.80 = 1,713.15 : x
  2. Step 2: Convert to fraction form
    4,634.01/6,949.80 = 1,713.15/x
  3. Step 3: Cross multiply
    4,634.01x = 6,949.80 × 1,713.15
  4. Step 4: Simplify right side
    4,634.01x = 11,906,049.87
  5. Step 5: Solve for x
    x = 11,906,049.87/4,634.01
  6. Step 6: Final answer
    x = 2,569.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.