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Finding the Fourth Proportional to 3,286.68, 4,885.64 and 3,188.40

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Solution

The fourth proportional to 3,286.68, 4,885.64 and 3,188.40 is: 4,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.68 : 4,885.64 = 3,188.40 : x
  2. Step 2: Convert to fraction form
    3,286.68/4,885.64 = 3,188.40/x
  3. Step 3: Cross multiply
    3,286.68x = 4,885.64 × 3,188.40
  4. Step 4: Simplify right side
    3,286.68x = 15,577,374.58
  5. Step 5: Solve for x
    x = 15,577,374.58/3,286.68
  6. Step 6: Final answer
    x = 4,739.55

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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.