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Finding the Fourth Proportional to 3,908.36, 5,871.60 and 3,698.60

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Solution

The fourth proportional to 3,908.36, 5,871.60 and 3,698.60 is: 5,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.36 : 5,871.60 = 3,698.60 : x
  2. Step 2: Convert to fraction form
    3,908.36/5,871.60 = 3,698.60/x
  3. Step 3: Cross multiply
    3,908.36x = 5,871.60 × 3,698.60
  4. Step 4: Simplify right side
    3,908.36x = 21,716,699.76
  5. Step 5: Solve for x
    x = 21,716,699.76/3,908.36
  6. Step 6: Final answer
    x = 5,556.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.