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Finding the Fourth Proportional to 3,847.86, 5,308.20 and 3,698.82

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Solution

The fourth proportional to 3,847.86, 5,308.20 and 3,698.82 is: 5,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.86 : 5,308.20 = 3,698.82 : x
  2. Step 2: Convert to fraction form
    3,847.86/5,308.20 = 3,698.82/x
  3. Step 3: Cross multiply
    3,847.86x = 5,308.20 × 3,698.82
  4. Step 4: Simplify right side
    3,847.86x = 19,634,076.32
  5. Step 5: Solve for x
    x = 19,634,076.32/3,847.86
  6. Step 6: Final answer
    x = 5,102.60

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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.