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Finding the Fourth Proportional to 5,899.14, 8,139.69 and 3,540.42

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Solution

The fourth proportional to 5,899.14, 8,139.69 and 3,540.42 is: 4,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.14 : 8,139.69 = 3,540.42 : x
  2. Step 2: Convert to fraction form
    5,899.14/8,139.69 = 3,540.42/x
  3. Step 3: Cross multiply
    5,899.14x = 8,139.69 × 3,540.42
  4. Step 4: Simplify right side
    5,899.14x = 28,817,921.27
  5. Step 5: Solve for x
    x = 28,817,921.27/5,899.14
  6. Step 6: Final answer
    x = 4,885.11

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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.