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Finding the Fourth Proportional to 6,082.12, 8,394.14 and 3,565.23

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Solution

The fourth proportional to 6,082.12, 8,394.14 and 3,565.23 is: 4,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.12 : 8,394.14 = 3,565.23 : x
  2. Step 2: Convert to fraction form
    6,082.12/8,394.14 = 3,565.23/x
  3. Step 3: Cross multiply
    6,082.12x = 8,394.14 × 3,565.23
  4. Step 4: Simplify right side
    6,082.12x = 29,927,039.75
  5. Step 5: Solve for x
    x = 29,927,039.75/6,082.12
  6. Step 6: Final answer
    x = 4,920.49

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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.