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Finding the Fourth Proportional to 5,398.13, 8,096.03 and 1,699.49

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Solution

The fourth proportional to 5,398.13, 8,096.03 and 1,699.49 is: 2,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.13 : 8,096.03 = 1,699.49 : x
  2. Step 2: Convert to fraction form
    5,398.13/8,096.03 = 1,699.49/x
  3. Step 3: Cross multiply
    5,398.13x = 8,096.03 × 1,699.49
  4. Step 4: Simplify right side
    5,398.13x = 13,759,122.02
  5. Step 5: Solve for x
    x = 13,759,122.02/5,398.13
  6. Step 6: Final answer
    x = 2,548.87

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