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Finding the Fourth Proportional to 3,830.69, 5,286.25 and 2,152.28

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Solution

The fourth proportional to 3,830.69, 5,286.25 and 2,152.28 is: 2,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.69 : 5,286.25 = 2,152.28 : x
  2. Step 2: Convert to fraction form
    3,830.69/5,286.25 = 2,152.28/x
  3. Step 3: Cross multiply
    3,830.69x = 5,286.25 × 2,152.28
  4. Step 4: Simplify right side
    3,830.69x = 11,377,490.15
  5. Step 5: Solve for x
    x = 11,377,490.15/3,830.69
  6. Step 6: Final answer
    x = 2,970.09

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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.