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Finding the Fourth Proportional to 4,593.71, 6,894.06 and 3,364.34

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Solution

The fourth proportional to 4,593.71, 6,894.06 and 3,364.34 is: 5,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.71 : 6,894.06 = 3,364.34 : x
  2. Step 2: Convert to fraction form
    4,593.71/6,894.06 = 3,364.34/x
  3. Step 3: Cross multiply
    4,593.71x = 6,894.06 × 3,364.34
  4. Step 4: Simplify right side
    4,593.71x = 23,193,933.66
  5. Step 5: Solve for x
    x = 23,193,933.66/4,593.71
  6. Step 6: Final answer
    x = 5,049.06

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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.