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Finding the Fourth Proportional to 5,857.13, 8,082.64 and 3,497.87

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Solution

The fourth proportional to 5,857.13, 8,082.64 and 3,497.87 is: 4,826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.13 : 8,082.64 = 3,497.87 : x
  2. Step 2: Convert to fraction form
    5,857.13/8,082.64 = 3,497.87/x
  3. Step 3: Cross multiply
    5,857.13x = 8,082.64 × 3,497.87
  4. Step 4: Simplify right side
    5,857.13x = 28,272,023.98
  5. Step 5: Solve for x
    x = 28,272,023.98/5,857.13
  6. Step 6: Final answer
    x = 4,826.94

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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.