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Finding the Fourth Proportional to 3,862.18, 5,794.24 and 1,783.66

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Solution

The fourth proportional to 3,862.18, 5,794.24 and 1,783.66 is: 2,675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.18 : 5,794.24 = 1,783.66 : x
  2. Step 2: Convert to fraction form
    3,862.18/5,794.24 = 1,783.66/x
  3. Step 3: Cross multiply
    3,862.18x = 5,794.24 × 1,783.66
  4. Step 4: Simplify right side
    3,862.18x = 10,334,942.49
  5. Step 5: Solve for x
    x = 10,334,942.49/3,862.18
  6. Step 6: Final answer
    x = 2,675.93

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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.