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Finding the Fourth Proportional to 4,082.23, 6,114.16 and 1,887.67

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Solution

The fourth proportional to 4,082.23, 6,114.16 and 1,887.67 is: 2,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.23 : 6,114.16 = 1,887.67 : x
  2. Step 2: Convert to fraction form
    4,082.23/6,114.16 = 1,887.67/x
  3. Step 3: Cross multiply
    4,082.23x = 6,114.16 × 1,887.67
  4. Step 4: Simplify right side
    4,082.23x = 11,541,516.41
  5. Step 5: Solve for x
    x = 11,541,516.41/4,082.23
  6. Step 6: Final answer
    x = 2,827.26

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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.