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Finding the Fourth Proportional to 4,934.45, 7,338.23 and 4,778.71

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Solution

The fourth proportional to 4,934.45, 7,338.23 and 4,778.71 is: 7,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.45 : 7,338.23 = 4,778.71 : x
  2. Step 2: Convert to fraction form
    4,934.45/7,338.23 = 4,778.71/x
  3. Step 3: Cross multiply
    4,934.45x = 7,338.23 × 4,778.71
  4. Step 4: Simplify right side
    4,934.45x = 35,067,273.08
  5. Step 5: Solve for x
    x = 35,067,273.08/4,934.45
  6. Step 6: Final answer
    x = 7,106.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.