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Finding the Fourth Proportional to 4,573.36, 6,311.21 and 2,584.56

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Solution

The fourth proportional to 4,573.36, 6,311.21 and 2,584.56 is: 3,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.36 : 6,311.21 = 2,584.56 : x
  2. Step 2: Convert to fraction form
    4,573.36/6,311.21 = 2,584.56/x
  3. Step 3: Cross multiply
    4,573.36x = 6,311.21 × 2,584.56
  4. Step 4: Simplify right side
    4,573.36x = 16,311,700.92
  5. Step 5: Solve for x
    x = 16,311,700.92/4,573.36
  6. Step 6: Final answer
    x = 3,566.68

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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.