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Finding the Fourth Proportional to 3,728.79, 5,590.76 and 1,229.67

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Solution

The fourth proportional to 3,728.79, 5,590.76 and 1,229.67 is: 1,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.79 : 5,590.76 = 1,229.67 : x
  2. Step 2: Convert to fraction form
    3,728.79/5,590.76 = 1,229.67/x
  3. Step 3: Cross multiply
    3,728.79x = 5,590.76 × 1,229.67
  4. Step 4: Simplify right side
    3,728.79x = 6,874,783.70
  5. Step 5: Solve for x
    x = 6,874,783.70/3,728.79
  6. Step 6: Final answer
    x = 1,843.70

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