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Finding the Fourth Proportional to 5,398.44, 8,094 and 1,699.44

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Solution

The fourth proportional to 5,398.44, 8,094 and 1,699.44 is: 2,548.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.44 : 8,094 = 1,699.44 : x
  2. Step 2: Convert to fraction form
    5,398.44/8,094 = 1,699.44/x
  3. Step 3: Cross multiply
    5,398.44x = 8,094 × 1,699.44
  4. Step 4: Simplify right side
    5,398.44x = 13,755,267.36
  5. Step 5: Solve for x
    x = 13,755,267.36/5,398.44
  6. Step 6: Final answer
    x = 2,548.01

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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.