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Finding the Fourth Proportional to 3,568.42, 5,353.44 and 1,347.94

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Solution

The fourth proportional to 3,568.42, 5,353.44 and 1,347.94 is: 2,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.42 : 5,353.44 = 1,347.94 : x
  2. Step 2: Convert to fraction form
    3,568.42/5,353.44 = 1,347.94/x
  3. Step 3: Cross multiply
    3,568.42x = 5,353.44 × 1,347.94
  4. Step 4: Simplify right side
    3,568.42x = 7,216,115.91
  5. Step 5: Solve for x
    x = 7,216,115.91/3,568.42
  6. Step 6: Final answer
    x = 2,022.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.