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Finding the Fourth Proportional to 6,438.46, 8,884.34 and 3,605.44

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Solution

The fourth proportional to 6,438.46, 8,884.34 and 3,605.44 is: 4,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.46 : 8,884.34 = 3,605.44 : x
  2. Step 2: Convert to fraction form
    6,438.46/8,884.34 = 3,605.44/x
  3. Step 3: Cross multiply
    6,438.46x = 8,884.34 × 3,605.44
  4. Step 4: Simplify right side
    6,438.46x = 32,031,954.81
  5. Step 5: Solve for x
    x = 32,031,954.81/6,438.46
  6. Step 6: Final answer
    x = 4,975.10

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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.