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Finding the Fourth Proportional to 4,532.75, 6,255.21 and 2,645.63

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Solution

The fourth proportional to 4,532.75, 6,255.21 and 2,645.63 is: 3,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.75 : 6,255.21 = 2,645.63 : x
  2. Step 2: Convert to fraction form
    4,532.75/6,255.21 = 2,645.63/x
  3. Step 3: Cross multiply
    4,532.75x = 6,255.21 × 2,645.63
  4. Step 4: Simplify right side
    4,532.75x = 16,548,971.23
  5. Step 5: Solve for x
    x = 16,548,971.23/4,532.75
  6. Step 6: Final answer
    x = 3,650.98

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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.