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Finding the Fourth Proportional to 3,870.69, 5,806.82 and 1,238.32

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Solution

The fourth proportional to 3,870.69, 5,806.82 and 1,238.32 is: 1,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.69 : 5,806.82 = 1,238.32 : x
  2. Step 2: Convert to fraction form
    3,870.69/5,806.82 = 1,238.32/x
  3. Step 3: Cross multiply
    3,870.69x = 5,806.82 × 1,238.32
  4. Step 4: Simplify right side
    3,870.69x = 7,190,711.70
  5. Step 5: Solve for x
    x = 7,190,711.70/3,870.69
  6. Step 6: Final answer
    x = 1,857.74

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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.