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Finding the Fourth Proportional to 6,738.57, 10,107.52 and 2,580.57

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Solution

The fourth proportional to 6,738.57, 10,107.52 and 2,580.57 is: 3,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.57 : 10,107.52 = 2,580.57 : x
  2. Step 2: Convert to fraction form
    6,738.57/10,107.52 = 2,580.57/x
  3. Step 3: Cross multiply
    6,738.57x = 10,107.52 × 2,580.57
  4. Step 4: Simplify right side
    6,738.57x = 26,083,156.43
  5. Step 5: Solve for x
    x = 26,083,156.43/6,738.57
  6. Step 6: Final answer
    x = 3,870.73

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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.