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Finding the Fourth Proportional to 3,802.57, 5,247.55 and 2,310.97

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Solution

The fourth proportional to 3,802.57, 5,247.55 and 2,310.97 is: 3,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.57 : 5,247.55 = 2,310.97 : x
  2. Step 2: Convert to fraction form
    3,802.57/5,247.55 = 2,310.97/x
  3. Step 3: Cross multiply
    3,802.57x = 5,247.55 × 2,310.97
  4. Step 4: Simplify right side
    3,802.57x = 12,126,913.10
  5. Step 5: Solve for x
    x = 12,126,913.10/3,802.57
  6. Step 6: Final answer
    x = 3,189.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.