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Finding the Fourth Proportional to 4,723.69, 7,084.32 and 1,951.15

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Solution

The fourth proportional to 4,723.69, 7,084.32 and 1,951.15 is: 2,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.69 : 7,084.32 = 1,951.15 : x
  2. Step 2: Convert to fraction form
    4,723.69/7,084.32 = 1,951.15/x
  3. Step 3: Cross multiply
    4,723.69x = 7,084.32 × 1,951.15
  4. Step 4: Simplify right side
    4,723.69x = 13,822,570.97
  5. Step 5: Solve for x
    x = 13,822,570.97/4,723.69
  6. Step 6: Final answer
    x = 2,926.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.