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Finding the Fourth Proportional to 5,176.53, 7,769.39 and 3,416.67

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Solution

The fourth proportional to 5,176.53, 7,769.39 and 3,416.67 is: 5,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.53 : 7,769.39 = 3,416.67 : x
  2. Step 2: Convert to fraction form
    5,176.53/7,769.39 = 3,416.67/x
  3. Step 3: Cross multiply
    5,176.53x = 7,769.39 × 3,416.67
  4. Step 4: Simplify right side
    5,176.53x = 26,545,424.65
  5. Step 5: Solve for x
    x = 26,545,424.65/5,176.53
  6. Step 6: Final answer
    x = 5,128.03

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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.