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Finding the Fourth Proportional to 3,689.07, 5,089.60 and 2,116.25

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Solution

The fourth proportional to 3,689.07, 5,089.60 and 2,116.25 is: 2,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.07 : 5,089.60 = 2,116.25 : x
  2. Step 2: Convert to fraction form
    3,689.07/5,089.60 = 2,116.25/x
  3. Step 3: Cross multiply
    3,689.07x = 5,089.60 × 2,116.25
  4. Step 4: Simplify right side
    3,689.07x = 10,770,866
  5. Step 5: Solve for x
    x = 10,770,866/3,689.07
  6. Step 6: Final answer
    x = 2,919.67

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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.