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Finding the Fourth Proportional to 4,144.54, 6,216.73 and 1,066.54

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Solution

The fourth proportional to 4,144.54, 6,216.73 and 1,066.54 is: 1,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.54 : 6,216.73 = 1,066.54 : x
  2. Step 2: Convert to fraction form
    4,144.54/6,216.73 = 1,066.54/x
  3. Step 3: Cross multiply
    4,144.54x = 6,216.73 × 1,066.54
  4. Step 4: Simplify right side
    4,144.54x = 6,630,391.21
  5. Step 5: Solve for x
    x = 6,630,391.21/4,144.54
  6. Step 6: Final answer
    x = 1,599.79

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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.