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Finding the Fourth Proportional to 3,768.02, 5,200.25 and 2,174.70

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Solution

The fourth proportional to 3,768.02, 5,200.25 and 2,174.70 is: 3,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.02 : 5,200.25 = 2,174.70 : x
  2. Step 2: Convert to fraction form
    3,768.02/5,200.25 = 2,174.70/x
  3. Step 3: Cross multiply
    3,768.02x = 5,200.25 × 2,174.70
  4. Step 4: Simplify right side
    3,768.02x = 11,308,975.28
  5. Step 5: Solve for x
    x = 11,308,975.28/3,768.02
  6. Step 6: Final answer
    x = 3,001.31

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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.