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Finding the Fourth Proportional to 4,676.50, 6,454.26 and 3,082.91

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Solution

The fourth proportional to 4,676.50, 6,454.26 and 3,082.91 is: 4,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.50 : 6,454.26 = 3,082.91 : x
  2. Step 2: Convert to fraction form
    4,676.50/6,454.26 = 3,082.91/x
  3. Step 3: Cross multiply
    4,676.50x = 6,454.26 × 3,082.91
  4. Step 4: Simplify right side
    4,676.50x = 19,897,887.28
  5. Step 5: Solve for x
    x = 19,897,887.28/4,676.50
  6. Step 6: Final answer
    x = 4,254.87

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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.