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Finding the Fourth Proportional to 4,236.76, 5,846.16 and 2,467

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Solution

The fourth proportional to 4,236.76, 5,846.16 and 2,467 is: 3,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.76 : 5,846.16 = 2,467 : x
  2. Step 2: Convert to fraction form
    4,236.76/5,846.16 = 2,467/x
  3. Step 3: Cross multiply
    4,236.76x = 5,846.16 × 2,467
  4. Step 4: Simplify right side
    4,236.76x = 14,422,476.72
  5. Step 5: Solve for x
    x = 14,422,476.72/4,236.76
  6. Step 6: Final answer
    x = 3,404.13

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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.