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Finding the Fourth Proportional to 3,405.57, 4,696.56 and 2,209.30

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Solution

The fourth proportional to 3,405.57, 4,696.56 and 2,209.30 is: 3,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.57 : 4,696.56 = 2,209.30 : x
  2. Step 2: Convert to fraction form
    3,405.57/4,696.56 = 2,209.30/x
  3. Step 3: Cross multiply
    3,405.57x = 4,696.56 × 2,209.30
  4. Step 4: Simplify right side
    3,405.57x = 10,376,110.01
  5. Step 5: Solve for x
    x = 10,376,110.01/3,405.57
  6. Step 6: Final answer
    x = 3,046.81

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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.