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Finding the Fourth Proportional to 3,871.97, 5,344.70 and 2,300.07

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Solution

The fourth proportional to 3,871.97, 5,344.70 and 2,300.07 is: 3,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.97 : 5,344.70 = 2,300.07 : x
  2. Step 2: Convert to fraction form
    3,871.97/5,344.70 = 2,300.07/x
  3. Step 3: Cross multiply
    3,871.97x = 5,344.70 × 2,300.07
  4. Step 4: Simplify right side
    3,871.97x = 12,293,184.13
  5. Step 5: Solve for x
    x = 12,293,184.13/3,871.97
  6. Step 6: Final answer
    x = 3,174.92

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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.