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Finding the Fourth Proportional to 6,491.28, 8,958.48 and 3,696.72

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Solution

The fourth proportional to 6,491.28, 8,958.48 and 3,696.72 is: 5,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.28 : 8,958.48 = 3,696.72 : x
  2. Step 2: Convert to fraction form
    6,491.28/8,958.48 = 3,696.72/x
  3. Step 3: Cross multiply
    6,491.28x = 8,958.48 × 3,696.72
  4. Step 4: Simplify right side
    6,491.28x = 33,116,992.19
  5. Step 5: Solve for x
    x = 33,116,992.19/6,491.28
  6. Step 6: Final answer
    x = 5,101.77

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Why These Related Problems?

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