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Finding the Fourth Proportional to 3,665.14, 5,496.19 and 2,554.09

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Solution

The fourth proportional to 3,665.14, 5,496.19 and 2,554.09 is: 3,830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.14 : 5,496.19 = 2,554.09 : x
  2. Step 2: Convert to fraction form
    3,665.14/5,496.19 = 2,554.09/x
  3. Step 3: Cross multiply
    3,665.14x = 5,496.19 × 2,554.09
  4. Step 4: Simplify right side
    3,665.14x = 14,037,763.92
  5. Step 5: Solve for x
    x = 14,037,763.92/3,665.14
  6. Step 6: Final answer
    x = 3,830.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.