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Finding the Fourth Proportional to 3,403.62, 4,696.44 and 2,142.48

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Solution

The fourth proportional to 3,403.62, 4,696.44 and 2,142.48 is: 2,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.62 : 4,696.44 = 2,142.48 : x
  2. Step 2: Convert to fraction form
    3,403.62/4,696.44 = 2,142.48/x
  3. Step 3: Cross multiply
    3,403.62x = 4,696.44 × 2,142.48
  4. Step 4: Simplify right side
    3,403.62x = 10,062,028.77
  5. Step 5: Solve for x
    x = 10,062,028.77/3,403.62
  6. Step 6: Final answer
    x = 2,956.27

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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.