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Finding the Fourth Proportional to 3,907.66, 5,415.19 and 3,833.83

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Solution

The fourth proportional to 3,907.66, 5,415.19 and 3,833.83 is: 5,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.66 : 5,415.19 = 3,833.83 : x
  2. Step 2: Convert to fraction form
    3,907.66/5,415.19 = 3,833.83/x
  3. Step 3: Cross multiply
    3,907.66x = 5,415.19 × 3,833.83
  4. Step 4: Simplify right side
    3,907.66x = 20,760,917.88
  5. Step 5: Solve for x
    x = 20,760,917.88/3,907.66
  6. Step 6: Final answer
    x = 5,312.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.