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Finding the Fourth Proportional to 3,798.34, 5,662.30 and 3,738.37

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Solution

The fourth proportional to 3,798.34, 5,662.30 and 3,738.37 is: 5,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.34 : 5,662.30 = 3,738.37 : x
  2. Step 2: Convert to fraction form
    3,798.34/5,662.30 = 3,738.37/x
  3. Step 3: Cross multiply
    3,798.34x = 5,662.30 × 3,738.37
  4. Step 4: Simplify right side
    3,798.34x = 21,167,725.45
  5. Step 5: Solve for x
    x = 21,167,725.45/3,798.34
  6. Step 6: Final answer
    x = 5,572.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.