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Finding the Fourth Proportional to 3,766.69, 5,655.30 and 1,919.28

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Solution

The fourth proportional to 3,766.69, 5,655.30 and 1,919.28 is: 2,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.69 : 5,655.30 = 1,919.28 : x
  2. Step 2: Convert to fraction form
    3,766.69/5,655.30 = 1,919.28/x
  3. Step 3: Cross multiply
    3,766.69x = 5,655.30 × 1,919.28
  4. Step 4: Simplify right side
    3,766.69x = 10,854,104.18
  5. Step 5: Solve for x
    x = 10,854,104.18/3,766.69
  6. Step 6: Final answer
    x = 2,881.60

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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.