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Finding the Fourth Proportional to 3,683.34, 5,082.72 and 2,266.62

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Solution

The fourth proportional to 3,683.34, 5,082.72 and 2,266.62 is: 3,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.34 : 5,082.72 = 2,266.62 : x
  2. Step 2: Convert to fraction form
    3,683.34/5,082.72 = 2,266.62/x
  3. Step 3: Cross multiply
    3,683.34x = 5,082.72 × 2,266.62
  4. Step 4: Simplify right side
    3,683.34x = 11,520,594.81
  5. Step 5: Solve for x
    x = 11,520,594.81/3,683.34
  6. Step 6: Final answer
    x = 3,127.76

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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.