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Finding the Fourth Proportional to 3,830.88, 5,729.48 and 3,336.80

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Solution

The fourth proportional to 3,830.88, 5,729.48 and 3,336.80 is: 4,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.88 : 5,729.48 = 3,336.80 : x
  2. Step 2: Convert to fraction form
    3,830.88/5,729.48 = 3,336.80/x
  3. Step 3: Cross multiply
    3,830.88x = 5,729.48 × 3,336.80
  4. Step 4: Simplify right side
    3,830.88x = 19,118,128.86
  5. Step 5: Solve for x
    x = 19,118,128.86/3,830.88
  6. Step 6: Final answer
    x = 4,990.53

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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.