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Finding the Fourth Proportional to 5,388.68, 8,084.38 and 1,690.82

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Solution

The fourth proportional to 5,388.68, 8,084.38 and 1,690.82 is: 2,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.68 : 8,084.38 = 1,690.82 : x
  2. Step 2: Convert to fraction form
    5,388.68/8,084.38 = 1,690.82/x
  3. Step 3: Cross multiply
    5,388.68x = 8,084.38 × 1,690.82
  4. Step 4: Simplify right side
    5,388.68x = 13,669,270.46
  5. Step 5: Solve for x
    x = 13,669,270.46/5,388.68
  6. Step 6: Final answer
    x = 2,536.67

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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.