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Finding the Fourth Proportional to 4,709.72, 7,064.62 and 1,199.73

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Solution

The fourth proportional to 4,709.72, 7,064.62 and 1,199.73 is: 1,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.72 : 7,064.62 = 1,199.73 : x
  2. Step 2: Convert to fraction form
    4,709.72/7,064.62 = 1,199.73/x
  3. Step 3: Cross multiply
    4,709.72x = 7,064.62 × 1,199.73
  4. Step 4: Simplify right side
    4,709.72x = 8,475,636.55
  5. Step 5: Solve for x
    x = 8,475,636.55/4,709.72
  6. Step 6: Final answer
    x = 1,799.61

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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.