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Finding the Fourth Proportional to 3,568.64, 4,924.04 and 2,311.29

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Solution

The fourth proportional to 3,568.64, 4,924.04 and 2,311.29 is: 3,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.64 : 4,924.04 = 2,311.29 : x
  2. Step 2: Convert to fraction form
    3,568.64/4,924.04 = 2,311.29/x
  3. Step 3: Cross multiply
    3,568.64x = 4,924.04 × 2,311.29
  4. Step 4: Simplify right side
    3,568.64x = 11,380,872.86
  5. Step 5: Solve for x
    x = 11,380,872.86/3,568.64
  6. Step 6: Final answer
    x = 3,189.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.