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Finding the Fourth Proportional to 3,402.87, 4,696.95 and 2,224.14

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Solution

The fourth proportional to 3,402.87, 4,696.95 and 2,224.14 is: 3,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.87 : 4,696.95 = 2,224.14 : x
  2. Step 2: Convert to fraction form
    3,402.87/4,696.95 = 2,224.14/x
  3. Step 3: Cross multiply
    3,402.87x = 4,696.95 × 2,224.14
  4. Step 4: Simplify right side
    3,402.87x = 10,446,674.37
  5. Step 5: Solve for x
    x = 10,446,674.37/3,402.87
  6. Step 6: Final answer
    x = 3,069.96

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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.