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Finding the Fourth Proportional to 4,235.96, 6,353.78 and 2,016.39

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Solution

The fourth proportional to 4,235.96, 6,353.78 and 2,016.39 is: 3,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.96 : 6,353.78 = 2,016.39 : x
  2. Step 2: Convert to fraction form
    4,235.96/6,353.78 = 2,016.39/x
  3. Step 3: Cross multiply
    4,235.96x = 6,353.78 × 2,016.39
  4. Step 4: Simplify right side
    4,235.96x = 12,811,712.20
  5. Step 5: Solve for x
    x = 12,811,712.20/4,235.96
  6. Step 6: Final answer
    x = 3,024.51

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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.