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Finding the Fourth Proportional to 4,777.38, 7,168.80 and 1,855.31

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Solution

The fourth proportional to 4,777.38, 7,168.80 and 1,855.31 is: 2,784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.38 : 7,168.80 = 1,855.31 : x
  2. Step 2: Convert to fraction form
    4,777.38/7,168.80 = 1,855.31/x
  3. Step 3: Cross multiply
    4,777.38x = 7,168.80 × 1,855.31
  4. Step 4: Simplify right side
    4,777.38x = 13,300,310.48
  5. Step 5: Solve for x
    x = 13,300,310.48/4,777.38
  6. Step 6: Final answer
    x = 2,784.02

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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.