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Finding the Fourth Proportional to 3,830.94, 5,287.14 and 2,152.44

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Solution

The fourth proportional to 3,830.94, 5,287.14 and 2,152.44 is: 2,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.94 : 5,287.14 = 2,152.44 : x
  2. Step 2: Convert to fraction form
    3,830.94/5,287.14 = 2,152.44/x
  3. Step 3: Cross multiply
    3,830.94x = 5,287.14 × 2,152.44
  4. Step 4: Simplify right side
    3,830.94x = 11,380,251.62
  5. Step 5: Solve for x
    x = 11,380,251.62/3,830.94
  6. Step 6: Final answer
    x = 2,970.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.