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Finding the Fourth Proportional to 5,851.95, 8,075.46 and 3,199.41

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Solution

The fourth proportional to 5,851.95, 8,075.46 and 3,199.41 is: 4,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.95 : 8,075.46 = 3,199.41 : x
  2. Step 2: Convert to fraction form
    5,851.95/8,075.46 = 3,199.41/x
  3. Step 3: Cross multiply
    5,851.95x = 8,075.46 × 3,199.41
  4. Step 4: Simplify right side
    5,851.95x = 25,836,707.48
  5. Step 5: Solve for x
    x = 25,836,707.48/5,851.95
  6. Step 6: Final answer
    x = 4,415.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.