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Finding the Fourth Proportional to 4,775.76, 6,589.19 and 3,097.23

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Solution

The fourth proportional to 4,775.76, 6,589.19 and 3,097.23 is: 4,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.76 : 6,589.19 = 3,097.23 : x
  2. Step 2: Convert to fraction form
    4,775.76/6,589.19 = 3,097.23/x
  3. Step 3: Cross multiply
    4,775.76x = 6,589.19 × 3,097.23
  4. Step 4: Simplify right side
    4,775.76x = 20,408,236.94
  5. Step 5: Solve for x
    x = 20,408,236.94/4,775.76
  6. Step 6: Final answer
    x = 4,273.30

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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.