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Finding the Fourth Proportional to 3,647.04, 5,027.04 and 2,467.68

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Solution

The fourth proportional to 3,647.04, 5,027.04 and 2,467.68 is: 3,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.04 : 5,027.04 = 2,467.68 : x
  2. Step 2: Convert to fraction form
    3,647.04/5,027.04 = 2,467.68/x
  3. Step 3: Cross multiply
    3,647.04x = 5,027.04 × 2,467.68
  4. Step 4: Simplify right side
    3,647.04x = 12,405,126.07
  5. Step 5: Solve for x
    x = 12,405,126.07/3,647.04
  6. Step 6: Final answer
    x = 3,401.42

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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.