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Finding the Fourth Proportional to 3,846.17, 5,306.53 and 2,352.53

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Solution

The fourth proportional to 3,846.17, 5,306.53 and 2,352.53 is: 3,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.17 : 5,306.53 = 2,352.53 : x
  2. Step 2: Convert to fraction form
    3,846.17/5,306.53 = 2,352.53/x
  3. Step 3: Cross multiply
    3,846.17x = 5,306.53 × 2,352.53
  4. Step 4: Simplify right side
    3,846.17x = 12,483,752.97
  5. Step 5: Solve for x
    x = 12,483,752.97/3,846.17
  6. Step 6: Final answer
    x = 3,245.76

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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.