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Finding the Fourth Proportional to 3,626.76, 5,440.32 and 1,161.39

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Solution

The fourth proportional to 3,626.76, 5,440.32 and 1,161.39 is: 1,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.76 : 5,440.32 = 1,161.39 : x
  2. Step 2: Convert to fraction form
    3,626.76/5,440.32 = 1,161.39/x
  3. Step 3: Cross multiply
    3,626.76x = 5,440.32 × 1,161.39
  4. Step 4: Simplify right side
    3,626.76x = 6,318,333.24
  5. Step 5: Solve for x
    x = 6,318,333.24/3,626.76
  6. Step 6: Final answer
    x = 1,742.14

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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.