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Finding the Fourth Proportional to 4,922.69, 6,794.00 and 2,906.46

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Solution

The fourth proportional to 4,922.69, 6,794.00 and 2,906.46 is: 4,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.69 : 6,794.00 = 2,906.46 : x
  2. Step 2: Convert to fraction form
    4,922.69/6,794.00 = 2,906.46/x
  3. Step 3: Cross multiply
    4,922.69x = 6,794.00 × 2,906.46
  4. Step 4: Simplify right side
    4,922.69x = 19,746,474.71
  5. Step 5: Solve for x
    x = 19,746,474.71/4,922.69
  6. Step 6: Final answer
    x = 4,011.32

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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.