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Finding the Fourth Proportional to 5,025.44, 7,540 and 1,738.88

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Solution

The fourth proportional to 5,025.44, 7,540 and 1,738.88 is: 2,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,025.44 : 7,540 = 1,738.88 : x
  2. Step 2: Convert to fraction form
    5,025.44/7,540 = 1,738.88/x
  3. Step 3: Cross multiply
    5,025.44x = 7,540 × 1,738.88
  4. Step 4: Simplify right side
    5,025.44x = 13,111,155.20
  5. Step 5: Solve for x
    x = 13,111,155.20/5,025.44
  6. Step 6: Final answer
    x = 2,608.96

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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.