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Finding the Fourth Proportional to 3,529.33, 5,294.93 and 1,064.23

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Solution

The fourth proportional to 3,529.33, 5,294.93 and 1,064.23 is: 1,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.33 : 5,294.93 = 1,064.23 : x
  2. Step 2: Convert to fraction form
    3,529.33/5,294.93 = 1,064.23/x
  3. Step 3: Cross multiply
    3,529.33x = 5,294.93 × 1,064.23
  4. Step 4: Simplify right side
    3,529.33x = 5,635,004.83
  5. Step 5: Solve for x
    x = 5,635,004.83/3,529.33
  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.