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Finding the Fourth Proportional to 3,855.70, 5,783.55 and 2,127.70

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Solution

The fourth proportional to 3,855.70, 5,783.55 and 2,127.70 is: 3,191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.70 : 5,783.55 = 2,127.70 : x
  2. Step 2: Convert to fraction form
    3,855.70/5,783.55 = 2,127.70/x
  3. Step 3: Cross multiply
    3,855.70x = 5,783.55 × 2,127.70
  4. Step 4: Simplify right side
    3,855.70x = 12,305,659.34
  5. Step 5: Solve for x
    x = 12,305,659.34/3,855.70
  6. Step 6: Final answer
    x = 3,191.55

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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.