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Finding the Fourth Proportional to 4,865.92, 6,716.46 and 3,294

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Solution

The fourth proportional to 4,865.92, 6,716.46 and 3,294 is: 4,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.92 : 6,716.46 = 3,294 : x
  2. Step 2: Convert to fraction form
    4,865.92/6,716.46 = 3,294/x
  3. Step 3: Cross multiply
    4,865.92x = 6,716.46 × 3,294
  4. Step 4: Simplify right side
    4,865.92x = 22,124,019.24
  5. Step 5: Solve for x
    x = 22,124,019.24/4,865.92
  6. Step 6: Final answer
    x = 4,546.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.