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Finding the Fourth Proportional to 3,795.52, 5,238.16 and 2,202.76

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Solution

The fourth proportional to 3,795.52, 5,238.16 and 2,202.76 is: 3,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.52 : 5,238.16 = 2,202.76 : x
  2. Step 2: Convert to fraction form
    3,795.52/5,238.16 = 2,202.76/x
  3. Step 3: Cross multiply
    3,795.52x = 5,238.16 × 2,202.76
  4. Step 4: Simplify right side
    3,795.52x = 11,538,409.32
  5. Step 5: Solve for x
    x = 11,538,409.32/3,795.52
  6. Step 6: Final answer
    x = 3,040.01

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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.