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Finding the Fourth Proportional to 4,506.81, 6,216.09 and 3,012.14

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Solution

The fourth proportional to 4,506.81, 6,216.09 and 3,012.14 is: 4,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.81 : 6,216.09 = 3,012.14 : x
  2. Step 2: Convert to fraction form
    4,506.81/6,216.09 = 3,012.14/x
  3. Step 3: Cross multiply
    4,506.81x = 6,216.09 × 3,012.14
  4. Step 4: Simplify right side
    4,506.81x = 18,723,719.56
  5. Step 5: Solve for x
    x = 18,723,719.56/4,506.81
  6. Step 6: Final answer
    x = 4,154.54

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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.