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Finding the Fourth Proportional to 5,451.90, 8,165.70 and 2,851.80

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Solution

The fourth proportional to 5,451.90, 8,165.70 and 2,851.80 is: 4,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.90 : 8,165.70 = 2,851.80 : x
  2. Step 2: Convert to fraction form
    5,451.90/8,165.70 = 2,851.80/x
  3. Step 3: Cross multiply
    5,451.90x = 8,165.70 × 2,851.80
  4. Step 4: Simplify right side
    5,451.90x = 23,286,943.26
  5. Step 5: Solve for x
    x = 23,286,943.26/5,451.90
  6. Step 6: Final answer
    x = 4,271.34

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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.