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Finding the Fourth Proportional to 4,802.49, 7,204.14 and 1,515.78

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Solution

The fourth proportional to 4,802.49, 7,204.14 and 1,515.78 is: 2,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.49 : 7,204.14 = 1,515.78 : x
  2. Step 2: Convert to fraction form
    4,802.49/7,204.14 = 1,515.78/x
  3. Step 3: Cross multiply
    4,802.49x = 7,204.14 × 1,515.78
  4. Step 4: Simplify right side
    4,802.49x = 10,919,891.33
  5. Step 5: Solve for x
    x = 10,919,891.33/4,802.49
  6. Step 6: Final answer
    x = 2,273.80

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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.