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Finding the Fourth Proportional to 3,608.62, 5,411.97 and 1,417.37

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Solution

The fourth proportional to 3,608.62, 5,411.97 and 1,417.37 is: 2,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.62 : 5,411.97 = 1,417.37 : x
  2. Step 2: Convert to fraction form
    3,608.62/5,411.97 = 1,417.37/x
  3. Step 3: Cross multiply
    3,608.62x = 5,411.97 × 1,417.37
  4. Step 4: Simplify right side
    3,608.62x = 7,670,736.86
  5. Step 5: Solve for x
    x = 7,670,736.86/3,608.62
  6. Step 6: Final answer
    x = 2,125.67

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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.