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Finding the Fourth Proportional to 4,885.31, 7,311.29 and 3,105.47

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Solution

The fourth proportional to 4,885.31, 7,311.29 and 3,105.47 is: 4,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.31 : 7,311.29 = 3,105.47 : x
  2. Step 2: Convert to fraction form
    4,885.31/7,311.29 = 3,105.47/x
  3. Step 3: Cross multiply
    4,885.31x = 7,311.29 × 3,105.47
  4. Step 4: Simplify right side
    4,885.31x = 22,704,939.67
  5. Step 5: Solve for x
    x = 22,704,939.67/4,885.31
  6. Step 6: Final answer
    x = 4,647.60

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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.