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Finding the Fourth Proportional to 3,403.88, 4,696.26 and 2,006.36

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Solution

The fourth proportional to 3,403.88, 4,696.26 and 2,006.36 is: 2,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.88 : 4,696.26 = 2,006.36 : x
  2. Step 2: Convert to fraction form
    3,403.88/4,696.26 = 2,006.36/x
  3. Step 3: Cross multiply
    3,403.88x = 4,696.26 × 2,006.36
  4. Step 4: Simplify right side
    3,403.88x = 9,422,388.21
  5. Step 5: Solve for x
    x = 9,422,388.21/3,403.88
  6. Step 6: Final answer
    x = 2,768.13

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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.