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Finding the Fourth Proportional to 3,548.25, 5,318.82 and 1,698.84

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Solution

The fourth proportional to 3,548.25, 5,318.82 and 1,698.84 is: 2,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.25 : 5,318.82 = 1,698.84 : x
  2. Step 2: Convert to fraction form
    3,548.25/5,318.82 = 1,698.84/x
  3. Step 3: Cross multiply
    3,548.25x = 5,318.82 × 1,698.84
  4. Step 4: Simplify right side
    3,548.25x = 9,035,824.17
  5. Step 5: Solve for x
    x = 9,035,824.17/3,548.25
  6. Step 6: Final answer
    x = 2,546.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.