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Finding the Fourth Proportional to 3,636.98, 5,023.12 and 2,456

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Solution

The fourth proportional to 3,636.98, 5,023.12 and 2,456 is: 3,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.98 : 5,023.12 = 2,456 : x
  2. Step 2: Convert to fraction form
    3,636.98/5,023.12 = 2,456/x
  3. Step 3: Cross multiply
    3,636.98x = 5,023.12 × 2,456
  4. Step 4: Simplify right side
    3,636.98x = 12,336,782.72
  5. Step 5: Solve for x
    x = 12,336,782.72/3,636.98
  6. Step 6: Final answer
    x = 3,392.04

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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.