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Finding the Fourth Proportional to 4,876.96, 7,315.44 and 1,757.38

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Solution

The fourth proportional to 4,876.96, 7,315.44 and 1,757.38 is: 2,636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.96 : 7,315.44 = 1,757.38 : x
  2. Step 2: Convert to fraction form
    4,876.96/7,315.44 = 1,757.38/x
  3. Step 3: Cross multiply
    4,876.96x = 7,315.44 × 1,757.38
  4. Step 4: Simplify right side
    4,876.96x = 12,856,007.95
  5. Step 5: Solve for x
    x = 12,856,007.95/4,876.96
  6. Step 6: Final answer
    x = 2,636.07

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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.