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Finding the Fourth Proportional to 3,830.66, 5,286.11 and 2,152.14

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Solution

The fourth proportional to 3,830.66, 5,286.11 and 2,152.14 is: 2,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.66 : 5,286.11 = 2,152.14 : x
  2. Step 2: Convert to fraction form
    3,830.66/5,286.11 = 2,152.14/x
  3. Step 3: Cross multiply
    3,830.66x = 5,286.11 × 2,152.14
  4. Step 4: Simplify right side
    3,830.66x = 11,376,454.16
  5. Step 5: Solve for x
    x = 11,376,454.16/3,830.66
  6. Step 6: Final answer
    x = 2,969.84

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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.