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Finding the Fourth Proportional to 4,596.56, 6,890.57 and 1,674.20

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Solution

The fourth proportional to 4,596.56, 6,890.57 and 1,674.20 is: 2,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.56 : 6,890.57 = 1,674.20 : x
  2. Step 2: Convert to fraction form
    4,596.56/6,890.57 = 1,674.20/x
  3. Step 3: Cross multiply
    4,596.56x = 6,890.57 × 1,674.20
  4. Step 4: Simplify right side
    4,596.56x = 11,536,183.92
  5. Step 5: Solve for x
    x = 11,536,183.92/4,596.56
  6. Step 6: Final answer
    x = 2,509.74

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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.