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Finding the Fourth Proportional to 3,458.64, 5,162.87 and 3,201.69

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Solution

The fourth proportional to 3,458.64, 5,162.87 and 3,201.69 is: 4,779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.64 : 5,162.87 = 3,201.69 : x
  2. Step 2: Convert to fraction form
    3,458.64/5,162.87 = 3,201.69/x
  3. Step 3: Cross multiply
    3,458.64x = 5,162.87 × 3,201.69
  4. Step 4: Simplify right side
    3,458.64x = 16,529,893.24
  5. Step 5: Solve for x
    x = 16,529,893.24/3,458.64
  6. Step 6: Final answer
    x = 4,779.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.