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Finding the Fourth Proportional to 3,534.99, 5,302.49 and 1,343.21

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Solution

The fourth proportional to 3,534.99, 5,302.49 and 1,343.21 is: 2,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.99 : 5,302.49 = 1,343.21 : x
  2. Step 2: Convert to fraction form
    3,534.99/5,302.49 = 1,343.21/x
  3. Step 3: Cross multiply
    3,534.99x = 5,302.49 × 1,343.21
  4. Step 4: Simplify right side
    3,534.99x = 7,122,324.36
  5. Step 5: Solve for x
    x = 7,122,324.36/3,534.99
  6. Step 6: Final answer
    x = 2,014.81

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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.