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Finding the Fourth Proportional to 4,828.92, 6,664.14 and 2,733

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Solution

The fourth proportional to 4,828.92, 6,664.14 and 2,733 is: 3,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.92 : 6,664.14 = 2,733 : x
  2. Step 2: Convert to fraction form
    4,828.92/6,664.14 = 2,733/x
  3. Step 3: Cross multiply
    4,828.92x = 6,664.14 × 2,733
  4. Step 4: Simplify right side
    4,828.92x = 18,213,094.62
  5. Step 5: Solve for x
    x = 18,213,094.62/4,828.92
  6. Step 6: Final answer
    x = 3,771.67

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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.