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Finding the Fourth Proportional to 4,733.50, 6,532.23 and 2,638.12

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Solution

The fourth proportional to 4,733.50, 6,532.23 and 2,638.12 is: 3,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.50 : 6,532.23 = 2,638.12 : x
  2. Step 2: Convert to fraction form
    4,733.50/6,532.23 = 2,638.12/x
  3. Step 3: Cross multiply
    4,733.50x = 6,532.23 × 2,638.12
  4. Step 4: Simplify right side
    4,733.50x = 17,232,806.61
  5. Step 5: Solve for x
    x = 17,232,806.61/4,733.50
  6. Step 6: Final answer
    x = 3,640.61

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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.