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Finding the Fourth Proportional to 4,309.46, 6,463.01 and 1,188.73

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Solution

The fourth proportional to 4,309.46, 6,463.01 and 1,188.73 is: 1,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.46 : 6,463.01 = 1,188.73 : x
  2. Step 2: Convert to fraction form
    4,309.46/6,463.01 = 1,188.73/x
  3. Step 3: Cross multiply
    4,309.46x = 6,463.01 × 1,188.73
  4. Step 4: Simplify right side
    4,309.46x = 7,682,773.88
  5. Step 5: Solve for x
    x = 7,682,773.88/4,309.46
  6. Step 6: Final answer
    x = 1,782.77

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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.