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Finding the Fourth Proportional to 3,641.96, 5,020.63 and 2,576.41

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Solution

The fourth proportional to 3,641.96, 5,020.63 and 2,576.41 is: 3,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.96 : 5,020.63 = 2,576.41 : x
  2. Step 2: Convert to fraction form
    3,641.96/5,020.63 = 2,576.41/x
  3. Step 3: Cross multiply
    3,641.96x = 5,020.63 × 2,576.41
  4. Step 4: Simplify right side
    3,641.96x = 12,935,182.35
  5. Step 5: Solve for x
    x = 12,935,182.35/3,641.96
  6. Step 6: Final answer
    x = 3,551.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.