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Finding the Fourth Proportional to 3,851.40, 5,762.70 and 3,505.80

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Solution

The fourth proportional to 3,851.40, 5,762.70 and 3,505.80 is: 5,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.40 : 5,762.70 = 3,505.80 : x
  2. Step 2: Convert to fraction form
    3,851.40/5,762.70 = 3,505.80/x
  3. Step 3: Cross multiply
    3,851.40x = 5,762.70 × 3,505.80
  4. Step 4: Simplify right side
    3,851.40x = 20,202,873.66
  5. Step 5: Solve for x
    x = 20,202,873.66/3,851.40
  6. Step 6: Final answer
    x = 5,245.59

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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.