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Finding the Fourth Proportional to 3,830.44, 5,285.90 and 2,152.03

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Solution

The fourth proportional to 3,830.44, 5,285.90 and 2,152.03 is: 2,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.44 : 5,285.90 = 2,152.03 : x
  2. Step 2: Convert to fraction form
    3,830.44/5,285.90 = 2,152.03/x
  3. Step 3: Cross multiply
    3,830.44x = 5,285.90 × 2,152.03
  4. Step 4: Simplify right side
    3,830.44x = 11,375,415.38
  5. Step 5: Solve for x
    x = 11,375,415.38/3,830.44
  6. Step 6: Final answer
    x = 2,969.74

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Why These Related Problems?

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