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Finding the Fourth Proportional to 3,144.70, 4,715.67 and 1,584.10

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Solution

The fourth proportional to 3,144.70, 4,715.67 and 1,584.10 is: 2,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.70 : 4,715.67 = 1,584.10 : x
  2. Step 2: Convert to fraction form
    3,144.70/4,715.67 = 1,584.10/x
  3. Step 3: Cross multiply
    3,144.70x = 4,715.67 × 1,584.10
  4. Step 4: Simplify right side
    3,144.70x = 7,470,092.85
  5. Step 5: Solve for x
    x = 7,470,092.85/3,144.70
  6. Step 6: Final answer
    x = 2,375.45

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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.