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Finding the Fourth Proportional to 3,851.75, 5,777.93 and 1,386.82

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Solution

The fourth proportional to 3,851.75, 5,777.93 and 1,386.82 is: 2,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.75 : 5,777.93 = 1,386.82 : x
  2. Step 2: Convert to fraction form
    3,851.75/5,777.93 = 1,386.82/x
  3. Step 3: Cross multiply
    3,851.75x = 5,777.93 × 1,386.82
  4. Step 4: Simplify right side
    3,851.75x = 8,012,913.06
  5. Step 5: Solve for x
    x = 8,012,913.06/3,851.75
  6. Step 6: Final answer
    x = 2,080.33

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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.