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Finding the Fourth Proportional to 3,235.96, 4,855.90 and 1,155.80

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Solution

The fourth proportional to 3,235.96, 4,855.90 and 1,155.80 is: 1,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.96 : 4,855.90 = 1,155.80 : x
  2. Step 2: Convert to fraction form
    3,235.96/4,855.90 = 1,155.80/x
  3. Step 3: Cross multiply
    3,235.96x = 4,855.90 × 1,155.80
  4. Step 4: Simplify right side
    3,235.96x = 5,612,449.22
  5. Step 5: Solve for x
    x = 5,612,449.22/3,235.96
  6. Step 6: Final answer
    x = 1,734.40

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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.