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Finding the Fourth Proportional to 3,475.83, 5,208.87 and 1,622.55

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Solution

The fourth proportional to 3,475.83, 5,208.87 and 1,622.55 is: 2,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.83 : 5,208.87 = 1,622.55 : x
  2. Step 2: Convert to fraction form
    3,475.83/5,208.87 = 1,622.55/x
  3. Step 3: Cross multiply
    3,475.83x = 5,208.87 × 1,622.55
  4. Step 4: Simplify right side
    3,475.83x = 8,451,652.02
  5. Step 5: Solve for x
    x = 8,451,652.02/3,475.83
  6. Step 6: Final answer
    x = 2,431.55

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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.