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Finding the Fourth Proportional to 3,813.40, 5,262.06 and 2,321.38

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Solution

The fourth proportional to 3,813.40, 5,262.06 and 2,321.38 is: 3,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.40 : 5,262.06 = 2,321.38 : x
  2. Step 2: Convert to fraction form
    3,813.40/5,262.06 = 2,321.38/x
  3. Step 3: Cross multiply
    3,813.40x = 5,262.06 × 2,321.38
  4. Step 4: Simplify right side
    3,813.40x = 12,215,240.84
  5. Step 5: Solve for x
    x = 12,215,240.84/3,813.40
  6. Step 6: Final answer
    x = 3,203.24

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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.