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Finding the Fourth Proportional to 6,438.81, 8,884.85 and 3,924.57

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Solution

The fourth proportional to 6,438.81, 8,884.85 and 3,924.57 is: 5,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.81 : 8,884.85 = 3,924.57 : x
  2. Step 2: Convert to fraction form
    6,438.81/8,884.85 = 3,924.57/x
  3. Step 3: Cross multiply
    6,438.81x = 8,884.85 × 3,924.57
  4. Step 4: Simplify right side
    6,438.81x = 34,869,196.14
  5. Step 5: Solve for x
    x = 34,869,196.14/6,438.81
  6. Step 6: Final answer
    x = 5,415.47

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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.