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Finding the Fourth Proportional to 3,870.85, 5,806.34 and 1,238.85

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Solution

The fourth proportional to 3,870.85, 5,806.34 and 1,238.85 is: 1,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.85 : 5,806.34 = 1,238.85 : x
  2. Step 2: Convert to fraction form
    3,870.85/5,806.34 = 1,238.85/x
  3. Step 3: Cross multiply
    3,870.85x = 5,806.34 × 1,238.85
  4. Step 4: Simplify right side
    3,870.85x = 7,193,200.62
  5. Step 5: Solve for x
    x = 7,193,200.62/3,870.85
  6. Step 6: Final answer
    x = 1,858.30

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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.