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Finding the Fourth Proportional to 3,362.12, 4,634.64 and 2,365.82

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Solution

The fourth proportional to 3,362.12, 4,634.64 and 2,365.82 is: 3,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.12 : 4,634.64 = 2,365.82 : x
  2. Step 2: Convert to fraction form
    3,362.12/4,634.64 = 2,365.82/x
  3. Step 3: Cross multiply
    3,362.12x = 4,634.64 × 2,365.82
  4. Step 4: Simplify right side
    3,362.12x = 10,964,700.83
  5. Step 5: Solve for x
    x = 10,964,700.83/3,362.12
  6. Step 6: Final answer
    x = 3,261.25

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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.