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Finding the Fourth Proportional to 4,067.46, 6,104.70 and 1,989

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Solution

The fourth proportional to 4,067.46, 6,104.70 and 1,989 is: 2,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.46 : 6,104.70 = 1,989 : x
  2. Step 2: Convert to fraction form
    4,067.46/6,104.70 = 1,989/x
  3. Step 3: Cross multiply
    4,067.46x = 6,104.70 × 1,989
  4. Step 4: Simplify right side
    4,067.46x = 12,142,248.30
  5. Step 5: Solve for x
    x = 12,142,248.30/4,067.46
  6. Step 6: Final answer
    x = 2,985.22

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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.