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Finding the Fourth Proportional to 5,348.44, 8,021.74 and 1,453.16

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Solution

The fourth proportional to 5,348.44, 8,021.74 and 1,453.16 is: 2,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.44 : 8,021.74 = 1,453.16 : x
  2. Step 2: Convert to fraction form
    5,348.44/8,021.74 = 1,453.16/x
  3. Step 3: Cross multiply
    5,348.44x = 8,021.74 × 1,453.16
  4. Step 4: Simplify right side
    5,348.44x = 11,656,871.70
  5. Step 5: Solve for x
    x = 11,656,871.70/5,348.44
  6. Step 6: Final answer
    x = 2,179.49

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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.