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Finding the Fourth Proportional to 3,450.70, 4,762.09 and 2,388.69

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Solution

The fourth proportional to 3,450.70, 4,762.09 and 2,388.69 is: 3,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.70 : 4,762.09 = 2,388.69 : x
  2. Step 2: Convert to fraction form
    3,450.70/4,762.09 = 2,388.69/x
  3. Step 3: Cross multiply
    3,450.70x = 4,762.09 × 2,388.69
  4. Step 4: Simplify right side
    3,450.70x = 11,375,159.75
  5. Step 5: Solve for x
    x = 11,375,159.75/3,450.70
  6. Step 6: Final answer
    x = 3,296.48

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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.