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Finding the Fourth Proportional to 3,533.99, 5,301.67 and 1,344.26

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Solution

The fourth proportional to 3,533.99, 5,301.67 and 1,344.26 is: 2,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.99 : 5,301.67 = 1,344.26 : x
  2. Step 2: Convert to fraction form
    3,533.99/5,301.67 = 1,344.26/x
  3. Step 3: Cross multiply
    3,533.99x = 5,301.67 × 1,344.26
  4. Step 4: Simplify right side
    3,533.99x = 7,126,822.91
  5. Step 5: Solve for x
    x = 7,126,822.91/3,533.99
  6. Step 6: Final answer
    x = 2,016.65

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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.