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Finding the Fourth Proportional to 6,152.82, 8,491.50 and 3,635.76

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Solution

The fourth proportional to 6,152.82, 8,491.50 and 3,635.76 is: 5,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.82 : 8,491.50 = 3,635.76 : x
  2. Step 2: Convert to fraction form
    6,152.82/8,491.50 = 3,635.76/x
  3. Step 3: Cross multiply
    6,152.82x = 8,491.50 × 3,635.76
  4. Step 4: Simplify right side
    6,152.82x = 30,873,056.04
  5. Step 5: Solve for x
    x = 30,873,056.04/6,152.82
  6. Step 6: Final answer
    x = 5,017.71

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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.