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Finding the Fourth Proportional to 4,146.78, 6,218.21 and 1,512.42

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Solution

The fourth proportional to 4,146.78, 6,218.21 and 1,512.42 is: 2,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.78 : 6,218.21 = 1,512.42 : x
  2. Step 2: Convert to fraction form
    4,146.78/6,218.21 = 1,512.42/x
  3. Step 3: Cross multiply
    4,146.78x = 6,218.21 × 1,512.42
  4. Step 4: Simplify right side
    4,146.78x = 9,404,537.61
  5. Step 5: Solve for x
    x = 9,404,537.61/4,146.78
  6. Step 6: Final answer
    x = 2,267.91

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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.