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Finding the Fourth Proportional to 3,529.73, 5,294.54 and 1,064.45

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Solution

The fourth proportional to 3,529.73, 5,294.54 and 1,064.45 is: 1,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.73 : 5,294.54 = 1,064.45 : x
  2. Step 2: Convert to fraction form
    3,529.73/5,294.54 = 1,064.45/x
  3. Step 3: Cross multiply
    3,529.73x = 5,294.54 × 1,064.45
  4. Step 4: Simplify right side
    3,529.73x = 5,635,789.00
  5. Step 5: Solve for x
    x = 5,635,789.00/3,529.73
  6. Step 6: Final answer
    x = 1,596.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.