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Finding the Fourth Proportional to 4,576.58, 6,874.57 and 4,309.96

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Solution

The fourth proportional to 4,576.58, 6,874.57 and 4,309.96 is: 6,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.58 : 6,874.57 = 4,309.96 : x
  2. Step 2: Convert to fraction form
    4,576.58/6,874.57 = 4,309.96/x
  3. Step 3: Cross multiply
    4,576.58x = 6,874.57 × 4,309.96
  4. Step 4: Simplify right side
    4,576.58x = 29,629,122.81
  5. Step 5: Solve for x
    x = 29,629,122.81/4,576.58
  6. Step 6: Final answer
    x = 6,474.08

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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.