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Finding the Fourth Proportional to 3,768.58, 5,201.25 and 3,602.48

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Solution

The fourth proportional to 3,768.58, 5,201.25 and 3,602.48 is: 4,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.58 : 5,201.25 = 3,602.48 : x
  2. Step 2: Convert to fraction form
    3,768.58/5,201.25 = 3,602.48/x
  3. Step 3: Cross multiply
    3,768.58x = 5,201.25 × 3,602.48
  4. Step 4: Simplify right side
    3,768.58x = 18,737,399.10
  5. Step 5: Solve for x
    x = 18,737,399.10/3,768.58
  6. Step 6: Final answer
    x = 4,972.01

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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.