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Finding the Fourth Proportional to 4,593.91, 6,894.34 and 3,364.51

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Solution

The fourth proportional to 4,593.91, 6,894.34 and 3,364.51 is: 5,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.91 : 6,894.34 = 3,364.51 : x
  2. Step 2: Convert to fraction form
    4,593.91/6,894.34 = 3,364.51/x
  3. Step 3: Cross multiply
    4,593.91x = 6,894.34 × 3,364.51
  4. Step 4: Simplify right side
    4,593.91x = 23,196,056.84
  5. Step 5: Solve for x
    x = 23,196,056.84/4,593.91
  6. Step 6: Final answer
    x = 5,049.30

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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.