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Finding the Fourth Proportional to 3,192.75, 4,779.90 and 2,859.30

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Solution

The fourth proportional to 3,192.75, 4,779.90 and 2,859.30 is: 4,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.75 : 4,779.90 = 2,859.30 : x
  2. Step 2: Convert to fraction form
    3,192.75/4,779.90 = 2,859.30/x
  3. Step 3: Cross multiply
    3,192.75x = 4,779.90 × 2,859.30
  4. Step 4: Simplify right side
    3,192.75x = 13,667,168.07
  5. Step 5: Solve for x
    x = 13,667,168.07/3,192.75
  6. Step 6: Final answer
    x = 4,280.69

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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.