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Finding the Fourth Proportional to 3,675.68, 5,512.35 and 1,209.84

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Solution

The fourth proportional to 3,675.68, 5,512.35 and 1,209.84 is: 1,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.68 : 5,512.35 = 1,209.84 : x
  2. Step 2: Convert to fraction form
    3,675.68/5,512.35 = 1,209.84/x
  3. Step 3: Cross multiply
    3,675.68x = 5,512.35 × 1,209.84
  4. Step 4: Simplify right side
    3,675.68x = 6,669,027.91
  5. Step 5: Solve for x
    x = 6,669,027.91/3,675.68
  6. Step 6: Final answer
    x = 1,814.37

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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.