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Finding the Fourth Proportional to 3,665.18, 5,498.62 and 1,200.22

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Solution

The fourth proportional to 3,665.18, 5,498.62 and 1,200.22 is: 1,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.18 : 5,498.62 = 1,200.22 : x
  2. Step 2: Convert to fraction form
    3,665.18/5,498.62 = 1,200.22/x
  3. Step 3: Cross multiply
    3,665.18x = 5,498.62 × 1,200.22
  4. Step 4: Simplify right side
    3,665.18x = 6,599,536.95
  5. Step 5: Solve for x
    x = 6,599,536.95/3,665.18
  6. Step 6: Final answer
    x = 1,800.60

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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.