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Finding the Fourth Proportional to 4,508.72, 6,728.80 and 4,211.68

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Solution

The fourth proportional to 4,508.72, 6,728.80 and 4,211.68 is: 6,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508.72 : 6,728.80 = 4,211.68 : x
  2. Step 2: Convert to fraction form
    4,508.72/6,728.80 = 4,211.68/x
  3. Step 3: Cross multiply
    4,508.72x = 6,728.80 × 4,211.68
  4. Step 4: Simplify right side
    4,508.72x = 28,339,552.38
  5. Step 5: Solve for x
    x = 28,339,552.38/4,508.72
  6. Step 6: Final answer
    x = 6,285.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.