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Finding the Fourth Proportional to 5,180.85, 7,771.41 and 1,894.95

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Solution

The fourth proportional to 5,180.85, 7,771.41 and 1,894.95 is: 2,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.85 : 7,771.41 = 1,894.95 : x
  2. Step 2: Convert to fraction form
    5,180.85/7,771.41 = 1,894.95/x
  3. Step 3: Cross multiply
    5,180.85x = 7,771.41 × 1,894.95
  4. Step 4: Simplify right side
    5,180.85x = 14,726,433.38
  5. Step 5: Solve for x
    x = 14,726,433.38/5,180.85
  6. Step 6: Final answer
    x = 2,842.47

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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.