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Finding the Fourth Proportional to 6,491.40, 8,951.76 and 5,951.76

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Solution

The fourth proportional to 6,491.40, 8,951.76 and 5,951.76 is: 8,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.40 : 8,951.76 = 5,951.76 : x
  2. Step 2: Convert to fraction form
    6,491.40/8,951.76 = 5,951.76/x
  3. Step 3: Cross multiply
    6,491.40x = 8,951.76 × 5,951.76
  4. Step 4: Simplify right side
    6,491.40x = 53,278,727.10
  5. Step 5: Solve for x
    x = 53,278,727.10/6,491.40
  6. Step 6: Final answer
    x = 8,207.59

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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.