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Finding the Fourth Proportional to 3,534.45, 5,302.44 and 1,343.22

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Solution

The fourth proportional to 3,534.45, 5,302.44 and 1,343.22 is: 2,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.45 : 5,302.44 = 1,343.22 : x
  2. Step 2: Convert to fraction form
    3,534.45/5,302.44 = 1,343.22/x
  3. Step 3: Cross multiply
    3,534.45x = 5,302.44 × 1,343.22
  4. Step 4: Simplify right side
    3,534.45x = 7,122,343.46
  5. Step 5: Solve for x
    x = 7,122,343.46/3,534.45
  6. Step 6: Final answer
    x = 2,015.12

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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.