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Finding the Fourth Proportional to 4,544.96, 6,813.84 and 2,205.68

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Solution

The fourth proportional to 4,544.96, 6,813.84 and 2,205.68 is: 3,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.96 : 6,813.84 = 2,205.68 : x
  2. Step 2: Convert to fraction form
    4,544.96/6,813.84 = 2,205.68/x
  3. Step 3: Cross multiply
    4,544.96x = 6,813.84 × 2,205.68
  4. Step 4: Simplify right side
    4,544.96x = 15,029,150.61
  5. Step 5: Solve for x
    x = 15,029,150.61/4,544.96
  6. Step 6: Final answer
    x = 3,306.77

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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.