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Finding the Fourth Proportional to 5,851.90, 8,075.62 and 3,199.30

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Solution

The fourth proportional to 5,851.90, 8,075.62 and 3,199.30 is: 4,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.90 : 8,075.62 = 3,199.30 : x
  2. Step 2: Convert to fraction form
    5,851.90/8,075.62 = 3,199.30/x
  3. Step 3: Cross multiply
    5,851.90x = 8,075.62 × 3,199.30
  4. Step 4: Simplify right side
    5,851.90x = 25,836,331.07
  5. Step 5: Solve for x
    x = 25,836,331.07/5,851.90
  6. Step 6: Final answer
    x = 4,415.03

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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.