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Finding the Fourth Proportional to 5,425.85, 8,139.05 and 1,728.36

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Solution

The fourth proportional to 5,425.85, 8,139.05 and 1,728.36 is: 2,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.85 : 8,139.05 = 1,728.36 : x
  2. Step 2: Convert to fraction form
    5,425.85/8,139.05 = 1,728.36/x
  3. Step 3: Cross multiply
    5,425.85x = 8,139.05 × 1,728.36
  4. Step 4: Simplify right side
    5,425.85x = 14,067,199.82
  5. Step 5: Solve for x
    x = 14,067,199.82/5,425.85
  6. Step 6: Final answer
    x = 2,592.63

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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.