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Finding the Fourth Proportional to 3,608.14, 4,976.64 and 2,346.82

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Solution

The fourth proportional to 3,608.14, 4,976.64 and 2,346.82 is: 3,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.14 : 4,976.64 = 2,346.82 : x
  2. Step 2: Convert to fraction form
    3,608.14/4,976.64 = 2,346.82/x
  3. Step 3: Cross multiply
    3,608.14x = 4,976.64 × 2,346.82
  4. Step 4: Simplify right side
    3,608.14x = 11,679,278.28
  5. Step 5: Solve for x
    x = 11,679,278.28/3,608.14
  6. Step 6: Final answer
    x = 3,236.92

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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.