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Finding the Fourth Proportional to 3,446.12, 5,167 and 1,594.72

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Solution

The fourth proportional to 3,446.12, 5,167 and 1,594.72 is: 2,391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.12 : 5,167 = 1,594.72 : x
  2. Step 2: Convert to fraction form
    3,446.12/5,167 = 1,594.72/x
  3. Step 3: Cross multiply
    3,446.12x = 5,167 × 1,594.72
  4. Step 4: Simplify right side
    3,446.12x = 8,239,918.24
  5. Step 5: Solve for x
    x = 8,239,918.24/3,446.12
  6. Step 6: Final answer
    x = 2,391.07

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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.