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Finding the Fourth Proportional to 3,589.58, 4,951.81 and 3,116.84

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Solution

The fourth proportional to 3,589.58, 4,951.81 and 3,116.84 is: 4,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.58 : 4,951.81 = 3,116.84 : x
  2. Step 2: Convert to fraction form
    3,589.58/4,951.81 = 3,116.84/x
  3. Step 3: Cross multiply
    3,589.58x = 4,951.81 × 3,116.84
  4. Step 4: Simplify right side
    3,589.58x = 15,433,999.48
  5. Step 5: Solve for x
    x = 15,433,999.48/3,589.58
  6. Step 6: Final answer
    x = 4,299.67

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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.