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Finding the Fourth Proportional to 3,458.64, 5,188.24 and 1,704.60

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Solution

The fourth proportional to 3,458.64, 5,188.24 and 1,704.60 is: 2,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.64 : 5,188.24 = 1,704.60 : x
  2. Step 2: Convert to fraction form
    3,458.64/5,188.24 = 1,704.60/x
  3. Step 3: Cross multiply
    3,458.64x = 5,188.24 × 1,704.60
  4. Step 4: Simplify right side
    3,458.64x = 8,843,873.90
  5. Step 5: Solve for x
    x = 8,843,873.90/3,458.64
  6. Step 6: Final answer
    x = 2,557.04

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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.