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Finding the Fourth Proportional to 3,581.34, 4,946.04 and 3,286.50

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Solution

The fourth proportional to 3,581.34, 4,946.04 and 3,286.50 is: 4,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.34 : 4,946.04 = 3,286.50 : x
  2. Step 2: Convert to fraction form
    3,581.34/4,946.04 = 3,286.50/x
  3. Step 3: Cross multiply
    3,581.34x = 4,946.04 × 3,286.50
  4. Step 4: Simplify right side
    3,581.34x = 16,255,160.46
  5. Step 5: Solve for x
    x = 16,255,160.46/3,581.34
  6. Step 6: Final answer
    x = 4,538.85

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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.