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Finding the Fourth Proportional to 3,903.11, 5,855.06 and 1,270.50

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Solution

The fourth proportional to 3,903.11, 5,855.06 and 1,270.50 is: 1,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.11 : 5,855.06 = 1,270.50 : x
  2. Step 2: Convert to fraction form
    3,903.11/5,855.06 = 1,270.50/x
  3. Step 3: Cross multiply
    3,903.11x = 5,855.06 × 1,270.50
  4. Step 4: Simplify right side
    3,903.11x = 7,438,847.38
  5. Step 5: Solve for x
    x = 7,438,847.38/3,903.11
  6. Step 6: Final answer
    x = 1,905.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.