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Finding the Fourth Proportional to 4,568.64, 6,852.96 and 1,105.86

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Solution

The fourth proportional to 4,568.64, 6,852.96 and 1,105.86 is: 1,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.64 : 6,852.96 = 1,105.86 : x
  2. Step 2: Convert to fraction form
    4,568.64/6,852.96 = 1,105.86/x
  3. Step 3: Cross multiply
    4,568.64x = 6,852.96 × 1,105.86
  4. Step 4: Simplify right side
    4,568.64x = 7,578,414.35
  5. Step 5: Solve for x
    x = 7,578,414.35/4,568.64
  6. Step 6: Final answer
    x = 1,658.79

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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.