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Finding the Fourth Proportional to 4,872.65, 6,722.68 and 3,456.57

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Solution

The fourth proportional to 4,872.65, 6,722.68 and 3,456.57 is: 4,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.65 : 6,722.68 = 3,456.57 : x
  2. Step 2: Convert to fraction form
    4,872.65/6,722.68 = 3,456.57/x
  3. Step 3: Cross multiply
    4,872.65x = 6,722.68 × 3,456.57
  4. Step 4: Simplify right side
    4,872.65x = 23,237,396.72
  5. Step 5: Solve for x
    x = 23,237,396.72/4,872.65
  6. Step 6: Final answer
    x = 4,768.94

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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.