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Finding the Fourth Proportional to 3,333.16, 5,000.82 and 1,601.56

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Solution

The fourth proportional to 3,333.16, 5,000.82 and 1,601.56 is: 2,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.16 : 5,000.82 = 1,601.56 : x
  2. Step 2: Convert to fraction form
    3,333.16/5,000.82 = 1,601.56/x
  3. Step 3: Cross multiply
    3,333.16x = 5,000.82 × 1,601.56
  4. Step 4: Simplify right side
    3,333.16x = 8,009,113.28
  5. Step 5: Solve for x
    x = 8,009,113.28/3,333.16
  6. Step 6: Final answer
    x = 2,402.86

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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.