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Finding the Fourth Proportional to 3,404.34, 5,106.51 and 1,672.56

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Solution

The fourth proportional to 3,404.34, 5,106.51 and 1,672.56 is: 2,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.34 : 5,106.51 = 1,672.56 : x
  2. Step 2: Convert to fraction form
    3,404.34/5,106.51 = 1,672.56/x
  3. Step 3: Cross multiply
    3,404.34x = 5,106.51 × 1,672.56
  4. Step 4: Simplify right side
    3,404.34x = 8,540,944.37
  5. Step 5: Solve for x
    x = 8,540,944.37/3,404.34
  6. Step 6: Final answer
    x = 2,508.84

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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.