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Finding the Fourth Proportional to 3,798, 5,697.96 and 1,062

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Solution

The fourth proportional to 3,798, 5,697.96 and 1,062 is: 1,593.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798 : 5,697.96 = 1,062 : x
  2. Step 2: Convert to fraction form
    3,798/5,697.96 = 1,062/x
  3. Step 3: Cross multiply
    3,798x = 5,697.96 × 1,062
  4. Step 4: Simplify right side
    3,798x = 6,051,233.52
  5. Step 5: Solve for x
    x = 6,051,233.52/3,798
  6. Step 6: Final answer
    x = 1,593.27

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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.