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Finding the Fourth Proportional to 4,050.98, 5,615.85 and 3,829.25

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Solution

The fourth proportional to 4,050.98, 5,615.85 and 3,829.25 is: 5,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,050.98 : 5,615.85 = 3,829.25 : x
  2. Step 2: Convert to fraction form
    4,050.98/5,615.85 = 3,829.25/x
  3. Step 3: Cross multiply
    4,050.98x = 5,615.85 × 3,829.25
  4. Step 4: Simplify right side
    4,050.98x = 21,504,465.53
  5. Step 5: Solve for x
    x = 21,504,465.53/4,050.98
  6. Step 6: Final answer
    x = 5,308.47

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.