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Finding the Fourth Proportional to 4,576.69, 6,314.75 and 2,586.97

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Solution

The fourth proportional to 4,576.69, 6,314.75 and 2,586.97 is: 3,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.69 : 6,314.75 = 2,586.97 : x
  2. Step 2: Convert to fraction form
    4,576.69/6,314.75 = 2,586.97/x
  3. Step 3: Cross multiply
    4,576.69x = 6,314.75 × 2,586.97
  4. Step 4: Simplify right side
    4,576.69x = 16,336,059.49
  5. Step 5: Solve for x
    x = 16,336,059.49/4,576.69
  6. Step 6: Final answer
    x = 3,569.41

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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.