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Finding the Fourth Proportional to 5,369, 8,047.74 and 2,248.22

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Solution

The fourth proportional to 5,369, 8,047.74 and 2,248.22 is: 3,369.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369 : 8,047.74 = 2,248.22 : x
  2. Step 2: Convert to fraction form
    5,369/8,047.74 = 2,248.22/x
  3. Step 3: Cross multiply
    5,369x = 8,047.74 × 2,248.22
  4. Step 4: Simplify right side
    5,369x = 18,093,090.02
  5. Step 5: Solve for x
    x = 18,093,090.02/5,369
  6. Step 6: Final answer
    x = 3,369.92

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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.