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Finding the Fourth Proportional to 3,909.28, 5,841.48 and 3,836.32

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Solution

The fourth proportional to 3,909.28, 5,841.48 and 3,836.32 is: 5,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.28 : 5,841.48 = 3,836.32 : x
  2. Step 2: Convert to fraction form
    3,909.28/5,841.48 = 3,836.32/x
  3. Step 3: Cross multiply
    3,909.28x = 5,841.48 × 3,836.32
  4. Step 4: Simplify right side
    3,909.28x = 22,409,786.55
  5. Step 5: Solve for x
    x = 22,409,786.55/3,909.28
  6. Step 6: Final answer
    x = 5,732.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.