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Finding the Fourth Proportional to 3,682.94, 5,524.40 and 1,050.39

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Solution

The fourth proportional to 3,682.94, 5,524.40 and 1,050.39 is: 1,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.94 : 5,524.40 = 1,050.39 : x
  2. Step 2: Convert to fraction form
    3,682.94/5,524.40 = 1,050.39/x
  3. Step 3: Cross multiply
    3,682.94x = 5,524.40 × 1,050.39
  4. Step 4: Simplify right side
    3,682.94x = 5,802,771.89
  5. Step 5: Solve for x
    x = 5,802,771.89/3,682.94
  6. Step 6: Final answer
    x = 1,575.58

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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.