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Finding the Fourth Proportional to 5,851.76, 8,075.37 and 3,199.22

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Solution

The fourth proportional to 5,851.76, 8,075.37 and 3,199.22 is: 4,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.76 : 8,075.37 = 3,199.22 : x
  2. Step 2: Convert to fraction form
    5,851.76/8,075.37 = 3,199.22/x
  3. Step 3: Cross multiply
    5,851.76x = 8,075.37 × 3,199.22
  4. Step 4: Simplify right side
    5,851.76x = 25,834,885.21
  5. Step 5: Solve for x
    x = 25,834,885.21/5,851.76
  6. Step 6: Final answer
    x = 4,414.89

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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.