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Finding the Fourth Proportional to 3,624.66, 5,438.34 and 2,063.70

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Solution

The fourth proportional to 3,624.66, 5,438.34 and 2,063.70 is: 3,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.66 : 5,438.34 = 2,063.70 : x
  2. Step 2: Convert to fraction form
    3,624.66/5,438.34 = 2,063.70/x
  3. Step 3: Cross multiply
    3,624.66x = 5,438.34 × 2,063.70
  4. Step 4: Simplify right side
    3,624.66x = 11,223,102.26
  5. Step 5: Solve for x
    x = 11,223,102.26/3,624.66
  6. Step 6: Final answer
    x = 3,096.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.