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Finding the Fourth Proportional to 6,438.96, 8,885.34 and 3,605.84

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Solution

The fourth proportional to 6,438.96, 8,885.34 and 3,605.84 is: 4,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.96 : 8,885.34 = 3,605.84 : x
  2. Step 2: Convert to fraction form
    6,438.96/8,885.34 = 3,605.84/x
  3. Step 3: Cross multiply
    6,438.96x = 8,885.34 × 3,605.84
  4. Step 4: Simplify right side
    6,438.96x = 32,039,114.39
  5. Step 5: Solve for x
    x = 32,039,114.39/6,438.96
  6. Step 6: Final answer
    x = 4,975.82

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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.