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Finding the Fourth Proportional to 3,872.98, 5,344.73 and 2,104.59

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Solution

The fourth proportional to 3,872.98, 5,344.73 and 2,104.59 is: 2,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.98 : 5,344.73 = 2,104.59 : x
  2. Step 2: Convert to fraction form
    3,872.98/5,344.73 = 2,104.59/x
  3. Step 3: Cross multiply
    3,872.98x = 5,344.73 × 2,104.59
  4. Step 4: Simplify right side
    3,872.98x = 11,248,473.41
  5. Step 5: Solve for x
    x = 11,248,473.41/3,872.98
  6. Step 6: Final answer
    x = 2,904.35

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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.