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Finding the Fourth Proportional to 3,802.12, 5,701.62 and 1,336.44

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Solution

The fourth proportional to 3,802.12, 5,701.62 and 1,336.44 is: 2,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.12 : 5,701.62 = 1,336.44 : x
  2. Step 2: Convert to fraction form
    3,802.12/5,701.62 = 1,336.44/x
  3. Step 3: Cross multiply
    3,802.12x = 5,701.62 × 1,336.44
  4. Step 4: Simplify right side
    3,802.12x = 7,619,873.03
  5. Step 5: Solve for x
    x = 7,619,873.03/3,802.12
  6. Step 6: Final answer
    x = 2,004.11

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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.