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Finding the Fourth Proportional to 5,679.24, 8,519.66 and 1,980.93

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Solution

The fourth proportional to 5,679.24, 8,519.66 and 1,980.93 is: 2,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.24 : 8,519.66 = 1,980.93 : x
  2. Step 2: Convert to fraction form
    5,679.24/8,519.66 = 1,980.93/x
  3. Step 3: Cross multiply
    5,679.24x = 8,519.66 × 1,980.93
  4. Step 4: Simplify right side
    5,679.24x = 16,876,850.08
  5. Step 5: Solve for x
    x = 16,876,850.08/5,679.24
  6. Step 6: Final answer
    x = 2,971.67

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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.