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Finding the Fourth Proportional to 3,450, 4,762.44 and 2,208.72

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Solution

The fourth proportional to 3,450, 4,762.44 and 2,208.72 is: 3,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450 : 4,762.44 = 2,208.72 : x
  2. Step 2: Convert to fraction form
    3,450/4,762.44 = 2,208.72/x
  3. Step 3: Cross multiply
    3,450x = 4,762.44 × 2,208.72
  4. Step 4: Simplify right side
    3,450x = 10,518,896.48
  5. Step 5: Solve for x
    x = 10,518,896.48/3,450
  6. Step 6: Final answer
    x = 3,048.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.