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Finding the Fourth Proportional to 4,663.88, 6,993.60 and 2,716.64

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Solution

The fourth proportional to 4,663.88, 6,993.60 and 2,716.64 is: 4,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.88 : 6,993.60 = 2,716.64 : x
  2. Step 2: Convert to fraction form
    4,663.88/6,993.60 = 2,716.64/x
  3. Step 3: Cross multiply
    4,663.88x = 6,993.60 × 2,716.64
  4. Step 4: Simplify right side
    4,663.88x = 18,999,093.50
  5. Step 5: Solve for x
    x = 18,999,093.50/4,663.88
  6. Step 6: Final answer
    x = 4,073.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.