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Finding the Fourth Proportional to 4,565.12, 6,811.84 and 4,286.48

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Solution

The fourth proportional to 4,565.12, 6,811.84 and 4,286.48 is: 6,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.12 : 6,811.84 = 4,286.48 : x
  2. Step 2: Convert to fraction form
    4,565.12/6,811.84 = 4,286.48/x
  3. Step 3: Cross multiply
    4,565.12x = 6,811.84 × 4,286.48
  4. Step 4: Simplify right side
    4,565.12x = 29,198,815.92
  5. Step 5: Solve for x
    x = 29,198,815.92/4,565.12
  6. Step 6: Final answer
    x = 6,396.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.