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Finding the Fourth Proportional to 3,517.76, 4,852.39 and 2,322.75

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Solution

The fourth proportional to 3,517.76, 4,852.39 and 2,322.75 is: 3,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.76 : 4,852.39 = 2,322.75 : x
  2. Step 2: Convert to fraction form
    3,517.76/4,852.39 = 2,322.75/x
  3. Step 3: Cross multiply
    3,517.76x = 4,852.39 × 2,322.75
  4. Step 4: Simplify right side
    3,517.76x = 11,270,905.62
  5. Step 5: Solve for x
    x = 11,270,905.62/3,517.76
  6. Step 6: Final answer
    x = 3,204.00

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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.