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Finding the Fourth Proportional to 3,402.86, 4,696.74 and 2,006.42

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Solution

The fourth proportional to 3,402.86, 4,696.74 and 2,006.42 is: 2,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.86 : 4,696.74 = 2,006.42 : x
  2. Step 2: Convert to fraction form
    3,402.86/4,696.74 = 2,006.42/x
  3. Step 3: Cross multiply
    3,402.86x = 4,696.74 × 2,006.42
  4. Step 4: Simplify right side
    3,402.86x = 9,423,609.59
  5. Step 5: Solve for x
    x = 9,423,609.59/3,402.86
  6. Step 6: Final answer
    x = 2,769.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.