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Finding the Fourth Proportional to 3,346.89, 5,023.41 and 1,704.57

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Solution

The fourth proportional to 3,346.89, 5,023.41 and 1,704.57 is: 2,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.89 : 5,023.41 = 1,704.57 : x
  2. Step 2: Convert to fraction form
    3,346.89/5,023.41 = 1,704.57/x
  3. Step 3: Cross multiply
    3,346.89x = 5,023.41 × 1,704.57
  4. Step 4: Simplify right side
    3,346.89x = 8,562,753.98
  5. Step 5: Solve for x
    x = 8,562,753.98/3,346.89
  6. Step 6: Final answer
    x = 2,558.42

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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.