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Finding the Fourth Proportional to 3,568.72, 5,351.12 and 1,102.86

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Solution

The fourth proportional to 3,568.72, 5,351.12 and 1,102.86 is: 1,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.72 : 5,351.12 = 1,102.86 : x
  2. Step 2: Convert to fraction form
    3,568.72/5,351.12 = 1,102.86/x
  3. Step 3: Cross multiply
    3,568.72x = 5,351.12 × 1,102.86
  4. Step 4: Simplify right side
    3,568.72x = 5,901,536.20
  5. Step 5: Solve for x
    x = 5,901,536.20/3,568.72
  6. Step 6: Final answer
    x = 1,653.68

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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.