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Finding the Fourth Proportional to 3,675.58, 5,511.29 and 1,209.74

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Solution

The fourth proportional to 3,675.58, 5,511.29 and 1,209.74 is: 1,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.58 : 5,511.29 = 1,209.74 : x
  2. Step 2: Convert to fraction form
    3,675.58/5,511.29 = 1,209.74/x
  3. Step 3: Cross multiply
    3,675.58x = 5,511.29 × 1,209.74
  4. Step 4: Simplify right side
    3,675.58x = 6,667,227.96
  5. Step 5: Solve for x
    x = 6,667,227.96/3,675.58
  6. Step 6: Final answer
    x = 1,813.93

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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.