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Finding the Fourth Proportional to 4,090.58, 5,643.33 and 2,849.30

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Solution

The fourth proportional to 4,090.58, 5,643.33 and 2,849.30 is: 3,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.58 : 5,643.33 = 2,849.30 : x
  2. Step 2: Convert to fraction form
    4,090.58/5,643.33 = 2,849.30/x
  3. Step 3: Cross multiply
    4,090.58x = 5,643.33 × 2,849.30
  4. Step 4: Simplify right side
    4,090.58x = 16,079,540.17
  5. Step 5: Solve for x
    x = 16,079,540.17/4,090.58
  6. Step 6: Final answer
    x = 3,930.87

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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.