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Finding the Fourth Proportional to 3,645.98, 5,033.32 and 2,154.42

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Solution

The fourth proportional to 3,645.98, 5,033.32 and 2,154.42 is: 2,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.98 : 5,033.32 = 2,154.42 : x
  2. Step 2: Convert to fraction form
    3,645.98/5,033.32 = 2,154.42/x
  3. Step 3: Cross multiply
    3,645.98x = 5,033.32 × 2,154.42
  4. Step 4: Simplify right side
    3,645.98x = 10,843,885.27
  5. Step 5: Solve for x
    x = 10,843,885.27/3,645.98
  6. Step 6: Final answer
    x = 2,974.20

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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.