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Finding the Fourth Proportional to 4,568.33, 6,848.24 and 2,105.12

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Solution

The fourth proportional to 4,568.33, 6,848.24 and 2,105.12 is: 3,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.33 : 6,848.24 = 2,105.12 : x
  2. Step 2: Convert to fraction form
    4,568.33/6,848.24 = 2,105.12/x
  3. Step 3: Cross multiply
    4,568.33x = 6,848.24 × 2,105.12
  4. Step 4: Simplify right side
    4,568.33x = 14,416,322.22
  5. Step 5: Solve for x
    x = 14,416,322.22/4,568.33
  6. Step 6: Final answer
    x = 3,155.71

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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.