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Finding the Fourth Proportional to 3,403.72, 4,696.78 and 2,284.43

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Solution

The fourth proportional to 3,403.72, 4,696.78 and 2,284.43 is: 3,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.72 : 4,696.78 = 2,284.43 : x
  2. Step 2: Convert to fraction form
    3,403.72/4,696.78 = 2,284.43/x
  3. Step 3: Cross multiply
    3,403.72x = 4,696.78 × 2,284.43
  4. Step 4: Simplify right side
    3,403.72x = 10,729,465.14
  5. Step 5: Solve for x
    x = 10,729,465.14/3,403.72
  6. Step 6: Final answer
    x = 3,152.28

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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.