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Finding the Fourth Proportional to 2,647.72, 3,964.71 and 2,569.79

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Solution

The fourth proportional to 2,647.72, 3,964.71 and 2,569.79 is: 3,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.72 : 3,964.71 = 2,569.79 : x
  2. Step 2: Convert to fraction form
    2,647.72/3,964.71 = 2,569.79/x
  3. Step 3: Cross multiply
    2,647.72x = 3,964.71 × 2,569.79
  4. Step 4: Simplify right side
    2,647.72x = 10,188,491.66
  5. Step 5: Solve for x
    x = 10,188,491.66/2,647.72
  6. Step 6: Final answer
    x = 3,848.02

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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.