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Finding the Fourth Proportional to 3,679.07, 5,519.31 and 1,214.60

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Solution

The fourth proportional to 3,679.07, 5,519.31 and 1,214.60 is: 1,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.07 : 5,519.31 = 1,214.60 : x
  2. Step 2: Convert to fraction form
    3,679.07/5,519.31 = 1,214.60/x
  3. Step 3: Cross multiply
    3,679.07x = 5,519.31 × 1,214.60
  4. Step 4: Simplify right side
    3,679.07x = 6,703,726.33
  5. Step 5: Solve for x
    x = 6,703,726.33/3,679.07
  6. Step 6: Final answer
    x = 1,822.13

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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.