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Finding the Fourth Proportional to 3,675.35, 5,513.71 and 1,211.90

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Solution

The fourth proportional to 3,675.35, 5,513.71 and 1,211.90 is: 1,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.35 : 5,513.71 = 1,211.90 : x
  2. Step 2: Convert to fraction form
    3,675.35/5,513.71 = 1,211.90/x
  3. Step 3: Cross multiply
    3,675.35x = 5,513.71 × 1,211.90
  4. Step 4: Simplify right side
    3,675.35x = 6,682,034.55
  5. Step 5: Solve for x
    x = 6,682,034.55/3,675.35
  6. Step 6: Final answer
    x = 1,818.07

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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.