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Finding the Fourth Proportional to 3,648.34, 5,035.55 and 2,321.78

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Solution

The fourth proportional to 3,648.34, 5,035.55 and 2,321.78 is: 3,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.34 : 5,035.55 = 2,321.78 : x
  2. Step 2: Convert to fraction form
    3,648.34/5,035.55 = 2,321.78/x
  3. Step 3: Cross multiply
    3,648.34x = 5,035.55 × 2,321.78
  4. Step 4: Simplify right side
    3,648.34x = 11,691,443.88
  5. Step 5: Solve for x
    x = 11,691,443.88/3,648.34
  6. Step 6: Final answer
    x = 3,204.59

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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.