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Finding the Fourth Proportional to 3,568.64, 5,351.84 and 1,102.80

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Solution

The fourth proportional to 3,568.64, 5,351.84 and 1,102.80 is: 1,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.64 : 5,351.84 = 1,102.80 : x
  2. Step 2: Convert to fraction form
    3,568.64/5,351.84 = 1,102.80/x
  3. Step 3: Cross multiply
    3,568.64x = 5,351.84 × 1,102.80
  4. Step 4: Simplify right side
    3,568.64x = 5,902,009.15
  5. Step 5: Solve for x
    x = 5,902,009.15/3,568.64
  6. Step 6: Final answer
    x = 1,653.85

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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.