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Finding the Fourth Proportional to 3,406.07, 4,696.04 and 2,285.24

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Solution

The fourth proportional to 3,406.07, 4,696.04 and 2,285.24 is: 3,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.07 : 4,696.04 = 2,285.24 : x
  2. Step 2: Convert to fraction form
    3,406.07/4,696.04 = 2,285.24/x
  3. Step 3: Cross multiply
    3,406.07x = 4,696.04 × 2,285.24
  4. Step 4: Simplify right side
    3,406.07x = 10,731,560.68
  5. Step 5: Solve for x
    x = 10,731,560.68/3,406.07
  6. Step 6: Final answer
    x = 3,150.71

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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.