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Finding the Fourth Proportional to 5,090.41, 7,022.59 and 2,965.78

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Solution

The fourth proportional to 5,090.41, 7,022.59 and 2,965.78 is: 4,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.41 : 7,022.59 = 2,965.78 : x
  2. Step 2: Convert to fraction form
    5,090.41/7,022.59 = 2,965.78/x
  3. Step 3: Cross multiply
    5,090.41x = 7,022.59 × 2,965.78
  4. Step 4: Simplify right side
    5,090.41x = 20,827,456.97
  5. Step 5: Solve for x
    x = 20,827,456.97/5,090.41
  6. Step 6: Final answer
    x = 4,091.51

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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.