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Finding the Fourth Proportional to 3,529.44, 5,294.52 and 1,064.34

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Solution

The fourth proportional to 3,529.44, 5,294.52 and 1,064.34 is: 1,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.44 : 5,294.52 = 1,064.34 : x
  2. Step 2: Convert to fraction form
    3,529.44/5,294.52 = 1,064.34/x
  3. Step 3: Cross multiply
    3,529.44x = 5,294.52 × 1,064.34
  4. Step 4: Simplify right side
    3,529.44x = 5,635,169.42
  5. Step 5: Solve for x
    x = 5,635,169.42/3,529.44
  6. Step 6: Final answer
    x = 1,596.62

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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.