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Finding the Fourth Proportional to 3,346.52, 5,022.83 and 1,704.20

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Solution

The fourth proportional to 3,346.52, 5,022.83 and 1,704.20 is: 2,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.52 : 5,022.83 = 1,704.20 : x
  2. Step 2: Convert to fraction form
    3,346.52/5,022.83 = 1,704.20/x
  3. Step 3: Cross multiply
    3,346.52x = 5,022.83 × 1,704.20
  4. Step 4: Simplify right side
    3,346.52x = 8,559,886.03
  5. Step 5: Solve for x
    x = 8,559,886.03/3,346.52
  6. Step 6: Final answer
    x = 2,557.85

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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.