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Finding the Fourth Proportional to 3,802.68, 5,247.72 and 2,230.80

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Solution

The fourth proportional to 3,802.68, 5,247.72 and 2,230.80 is: 3,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.68 : 5,247.72 = 2,230.80 : x
  2. Step 2: Convert to fraction form
    3,802.68/5,247.72 = 2,230.80/x
  3. Step 3: Cross multiply
    3,802.68x = 5,247.72 × 2,230.80
  4. Step 4: Simplify right side
    3,802.68x = 11,706,613.78
  5. Step 5: Solve for x
    x = 11,706,613.78/3,802.68
  6. Step 6: Final answer
    x = 3,078.52

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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.