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Finding the Fourth Proportional to 4,273.78, 6,402.97 and 4,016.46

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Solution

The fourth proportional to 4,273.78, 6,402.97 and 4,016.46 is: 6,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.78 : 6,402.97 = 4,016.46 : x
  2. Step 2: Convert to fraction form
    4,273.78/6,402.97 = 4,016.46/x
  3. Step 3: Cross multiply
    4,273.78x = 6,402.97 × 4,016.46
  4. Step 4: Simplify right side
    4,273.78x = 25,717,272.89
  5. Step 5: Solve for x
    x = 25,717,272.89/4,273.78
  6. Step 6: Final answer
    x = 6,017.45

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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.