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Finding the Fourth Proportional to 3,662.46, 5,493.11 and 1,064.79

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Solution

The fourth proportional to 3,662.46, 5,493.11 and 1,064.79 is: 1,597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.46 : 5,493.11 = 1,064.79 : x
  2. Step 2: Convert to fraction form
    3,662.46/5,493.11 = 1,064.79/x
  3. Step 3: Cross multiply
    3,662.46x = 5,493.11 × 1,064.79
  4. Step 4: Simplify right side
    3,662.46x = 5,849,003.27
  5. Step 5: Solve for x
    x = 5,849,003.27/3,662.46
  6. Step 6: Final answer
    x = 1,597.01

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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.