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Finding the Fourth Proportional to 5,204.46, 7,802.56 and 3,010.71

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Solution

The fourth proportional to 5,204.46, 7,802.56 and 3,010.71 is: 4,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.46 : 7,802.56 = 3,010.71 : x
  2. Step 2: Convert to fraction form
    5,204.46/7,802.56 = 3,010.71/x
  3. Step 3: Cross multiply
    5,204.46x = 7,802.56 × 3,010.71
  4. Step 4: Simplify right side
    5,204.46x = 23,491,245.42
  5. Step 5: Solve for x
    x = 23,491,245.42/5,204.46
  6. Step 6: Final answer
    x = 4,513.68

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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.