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Finding the Fourth Proportional to 4,576.53, 6,861.84 and 3,011.81

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Solution

The fourth proportional to 4,576.53, 6,861.84 and 3,011.81 is: 4,515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.53 : 6,861.84 = 3,011.81 : x
  2. Step 2: Convert to fraction form
    4,576.53/6,861.84 = 3,011.81/x
  3. Step 3: Cross multiply
    4,576.53x = 6,861.84 × 3,011.81
  4. Step 4: Simplify right side
    4,576.53x = 20,666,524.02
  5. Step 5: Solve for x
    x = 20,666,524.02/4,576.53
  6. Step 6: Final answer
    x = 4,515.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.