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Finding the Fourth Proportional to 4,672.53, 7,000.16 and 2,361.33

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Solution

The fourth proportional to 4,672.53, 7,000.16 and 2,361.33 is: 3,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.53 : 7,000.16 = 2,361.33 : x
  2. Step 2: Convert to fraction form
    4,672.53/7,000.16 = 2,361.33/x
  3. Step 3: Cross multiply
    4,672.53x = 7,000.16 × 2,361.33
  4. Step 4: Simplify right side
    4,672.53x = 16,529,676.01
  5. Step 5: Solve for x
    x = 16,529,676.01/4,672.53
  6. Step 6: Final answer
    x = 3,537.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.