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Finding the Fourth Proportional to 4,876.35, 6,730.40 and 3,082.68

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Solution

The fourth proportional to 4,876.35, 6,730.40 and 3,082.68 is: 4,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.35 : 6,730.40 = 3,082.68 : x
  2. Step 2: Convert to fraction form
    4,876.35/6,730.40 = 3,082.68/x
  3. Step 3: Cross multiply
    4,876.35x = 6,730.40 × 3,082.68
  4. Step 4: Simplify right side
    4,876.35x = 20,747,654.06
  5. Step 5: Solve for x
    x = 20,747,654.06/4,876.35
  6. Step 6: Final answer
    x = 4,254.75

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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.