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Finding the Fourth Proportional to 3,402.87, 4,696.71 and 2,006.43

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Solution

The fourth proportional to 3,402.87, 4,696.71 and 2,006.43 is: 2,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.87 : 4,696.71 = 2,006.43 : x
  2. Step 2: Convert to fraction form
    3,402.87/4,696.71 = 2,006.43/x
  3. Step 3: Cross multiply
    3,402.87x = 4,696.71 × 2,006.43
  4. Step 4: Simplify right side
    3,402.87x = 9,423,619.85
  5. Step 5: Solve for x
    x = 9,423,619.85/3,402.87
  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.