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Finding the Fourth Proportional to 3,402.59, 5,113.52 and 2,016.19

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Solution

The fourth proportional to 3,402.59, 5,113.52 and 2,016.19 is: 3,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.59 : 5,113.52 = 2,016.19 : x
  2. Step 2: Convert to fraction form
    3,402.59/5,113.52 = 2,016.19/x
  3. Step 3: Cross multiply
    3,402.59x = 5,113.52 × 2,016.19
  4. Step 4: Simplify right side
    3,402.59x = 10,309,827.89
  5. Step 5: Solve for x
    x = 10,309,827.89/3,402.59
  6. Step 6: Final answer
    x = 3,029.99

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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.