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Finding the Fourth Proportional to 3,980.96, 5,491.68 and 2,324

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Solution

The fourth proportional to 3,980.96, 5,491.68 and 2,324 is: 3,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.96 : 5,491.68 = 2,324 : x
  2. Step 2: Convert to fraction form
    3,980.96/5,491.68 = 2,324/x
  3. Step 3: Cross multiply
    3,980.96x = 5,491.68 × 2,324
  4. Step 4: Simplify right side
    3,980.96x = 12,762,664.32
  5. Step 5: Solve for x
    x = 12,762,664.32/3,980.96
  6. Step 6: Final answer
    x = 3,205.93

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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.