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Finding the Fourth Proportional to 4,568.68, 6,833.49 and 3,813.60

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Solution

The fourth proportional to 4,568.68, 6,833.49 and 3,813.60 is: 5,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.68 : 6,833.49 = 3,813.60 : x
  2. Step 2: Convert to fraction form
    4,568.68/6,833.49 = 3,813.60/x
  3. Step 3: Cross multiply
    4,568.68x = 6,833.49 × 3,813.60
  4. Step 4: Simplify right side
    4,568.68x = 26,060,197.46
  5. Step 5: Solve for x
    x = 26,060,197.46/4,568.68
  6. Step 6: Final answer
    x = 5,704.10

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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.