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Finding the Fourth Proportional to 4,142.88, 6,214.68 and 1,369.48

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Solution

The fourth proportional to 4,142.88, 6,214.68 and 1,369.48 is: 2,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.88 : 6,214.68 = 1,369.48 : x
  2. Step 2: Convert to fraction form
    4,142.88/6,214.68 = 1,369.48/x
  3. Step 3: Cross multiply
    4,142.88x = 6,214.68 × 1,369.48
  4. Step 4: Simplify right side
    4,142.88x = 8,510,879.97
  5. Step 5: Solve for x
    x = 8,510,879.97/4,142.88
  6. Step 6: Final answer
    x = 2,054.34

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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.