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Finding the Fourth Proportional to 4,872.13, 6,725.82 and 3,193.63

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Solution

The fourth proportional to 4,872.13, 6,725.82 and 3,193.63 is: 4,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.13 : 6,725.82 = 3,193.63 : x
  2. Step 2: Convert to fraction form
    4,872.13/6,725.82 = 3,193.63/x
  3. Step 3: Cross multiply
    4,872.13x = 6,725.82 × 3,193.63
  4. Step 4: Simplify right side
    4,872.13x = 21,479,780.53
  5. Step 5: Solve for x
    x = 21,479,780.53/4,872.13
  6. Step 6: Final answer
    x = 4,408.70

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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.