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Finding the Fourth Proportional to 3,271.50, 4,509.36 and 2,738.52

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Solution

The fourth proportional to 3,271.50, 4,509.36 and 2,738.52 is: 3,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.50 : 4,509.36 = 2,738.52 : x
  2. Step 2: Convert to fraction form
    3,271.50/4,509.36 = 2,738.52/x
  3. Step 3: Cross multiply
    3,271.50x = 4,509.36 × 2,738.52
  4. Step 4: Simplify right side
    3,271.50x = 12,348,972.55
  5. Step 5: Solve for x
    x = 12,348,972.55/3,271.50
  6. Step 6: Final answer
    x = 3,774.71

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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.