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Finding the Fourth Proportional to 4,964.92, 6,849.63 and 2,975.67

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Solution

The fourth proportional to 4,964.92, 6,849.63 and 2,975.67 is: 4,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.92 : 6,849.63 = 2,975.67 : x
  2. Step 2: Convert to fraction form
    4,964.92/6,849.63 = 2,975.67/x
  3. Step 3: Cross multiply
    4,964.92x = 6,849.63 × 2,975.67
  4. Step 4: Simplify right side
    4,964.92x = 20,382,238.50
  5. Step 5: Solve for x
    x = 20,382,238.50/4,964.92
  6. Step 6: Final answer
    x = 4,105.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.