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Finding the Fourth Proportional to 4,789.97, 6,602.00 and 4,112.81

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Solution

The fourth proportional to 4,789.97, 6,602.00 and 4,112.81 is: 5,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.97 : 6,602.00 = 4,112.81 : x
  2. Step 2: Convert to fraction form
    4,789.97/6,602.00 = 4,112.81/x
  3. Step 3: Cross multiply
    4,789.97x = 6,602.00 × 4,112.81
  4. Step 4: Simplify right side
    4,789.97x = 27,152,718.05
  5. Step 5: Solve for x
    x = 27,152,718.05/4,789.97
  6. Step 6: Final answer
    x = 5,668.67

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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.