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Finding the Fourth Proportional to 4,165.02, 6,240.65 and 2,082.92

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Solution

The fourth proportional to 4,165.02, 6,240.65 and 2,082.92 is: 3,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.02 : 6,240.65 = 2,082.92 : x
  2. Step 2: Convert to fraction form
    4,165.02/6,240.65 = 2,082.92/x
  3. Step 3: Cross multiply
    4,165.02x = 6,240.65 × 2,082.92
  4. Step 4: Simplify right side
    4,165.02x = 12,998,733.08
  5. Step 5: Solve for x
    x = 12,998,733.08/4,165.02
  6. Step 6: Final answer
    x = 3,120.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.