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Finding the Fourth Proportional to 3,813.51, 5,261.09 and 2,320.23

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Solution

The fourth proportional to 3,813.51, 5,261.09 and 2,320.23 is: 3,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.51 : 5,261.09 = 2,320.23 : x
  2. Step 2: Convert to fraction form
    3,813.51/5,261.09 = 2,320.23/x
  3. Step 3: Cross multiply
    3,813.51x = 5,261.09 × 2,320.23
  4. Step 4: Simplify right side
    3,813.51x = 12,206,938.85
  5. Step 5: Solve for x
    x = 12,206,938.85/3,813.51
  6. Step 6: Final answer
    x = 3,200.97

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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.