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Finding the Fourth Proportional to 3,870.38, 5,806.02 and 1,236.96

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Solution

The fourth proportional to 3,870.38, 5,806.02 and 1,236.96 is: 1,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.38 : 5,806.02 = 1,236.96 : x
  2. Step 2: Convert to fraction form
    3,870.38/5,806.02 = 1,236.96/x
  3. Step 3: Cross multiply
    3,870.38x = 5,806.02 × 1,236.96
  4. Step 4: Simplify right side
    3,870.38x = 7,181,814.50
  5. Step 5: Solve for x
    x = 7,181,814.50/3,870.38
  6. Step 6: Final answer
    x = 1,855.58

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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.