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Finding the Fourth Proportional to 3,478.56, 4,799.04 and 2,237.28

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Solution

The fourth proportional to 3,478.56, 4,799.04 and 2,237.28 is: 3,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.56 : 4,799.04 = 2,237.28 : x
  2. Step 2: Convert to fraction form
    3,478.56/4,799.04 = 2,237.28/x
  3. Step 3: Cross multiply
    3,478.56x = 4,799.04 × 2,237.28
  4. Step 4: Simplify right side
    3,478.56x = 10,736,796.21
  5. Step 5: Solve for x
    x = 10,736,796.21/3,478.56
  6. Step 6: Final answer
    x = 3,086.56

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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.