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Finding the Fourth Proportional to 3,530.36, 5,294.25 and 1,189.87

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Solution

The fourth proportional to 3,530.36, 5,294.25 and 1,189.87 is: 1,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.36 : 5,294.25 = 1,189.87 : x
  2. Step 2: Convert to fraction form
    3,530.36/5,294.25 = 1,189.87/x
  3. Step 3: Cross multiply
    3,530.36x = 5,294.25 × 1,189.87
  4. Step 4: Simplify right side
    3,530.36x = 6,299,456.01
  5. Step 5: Solve for x
    x = 6,299,456.01/3,530.36
  6. Step 6: Final answer
    x = 1,784.37

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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.