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Finding the Fourth Proportional to 4,920.82, 7,348.61 and 4,324.66

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Solution

The fourth proportional to 4,920.82, 7,348.61 and 4,324.66 is: 6,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.82 : 7,348.61 = 4,324.66 : x
  2. Step 2: Convert to fraction form
    4,920.82/7,348.61 = 4,324.66/x
  3. Step 3: Cross multiply
    4,920.82x = 7,348.61 × 4,324.66
  4. Step 4: Simplify right side
    4,920.82x = 31,780,210.54
  5. Step 5: Solve for x
    x = 31,780,210.54/4,920.82
  6. Step 6: Final answer
    x = 6,458.32

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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.