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Finding the Fourth Proportional to 3,675.34, 5,514.83 and 1,826.38

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Solution

The fourth proportional to 3,675.34, 5,514.83 and 1,826.38 is: 2,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.34 : 5,514.83 = 1,826.38 : x
  2. Step 2: Convert to fraction form
    3,675.34/5,514.83 = 1,826.38/x
  3. Step 3: Cross multiply
    3,675.34x = 5,514.83 × 1,826.38
  4. Step 4: Simplify right side
    3,675.34x = 10,072,138.51
  5. Step 5: Solve for x
    x = 10,072,138.51/3,675.34
  6. Step 6: Final answer
    x = 2,740.47

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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.