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Finding the Fourth Proportional to 3,416.72, 5,123.64 and 2,321.36

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Solution

The fourth proportional to 3,416.72, 5,123.64 and 2,321.36 is: 3,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.72 : 5,123.64 = 2,321.36 : x
  2. Step 2: Convert to fraction form
    3,416.72/5,123.64 = 2,321.36/x
  3. Step 3: Cross multiply
    3,416.72x = 5,123.64 × 2,321.36
  4. Step 4: Simplify right side
    3,416.72x = 11,893,812.95
  5. Step 5: Solve for x
    x = 11,893,812.95/3,416.72
  6. Step 6: Final answer
    x = 3,481.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.