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Finding the Fourth Proportional to 5,377.67, 8,068.13 and 1,680.29

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Solution

The fourth proportional to 5,377.67, 8,068.13 and 1,680.29 is: 2,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.67 : 8,068.13 = 1,680.29 : x
  2. Step 2: Convert to fraction form
    5,377.67/8,068.13 = 1,680.29/x
  3. Step 3: Cross multiply
    5,377.67x = 8,068.13 × 1,680.29
  4. Step 4: Simplify right side
    5,377.67x = 13,556,749.42
  5. Step 5: Solve for x
    x = 13,556,749.42/5,377.67
  6. Step 6: Final answer
    x = 2,520.94

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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.