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Finding the Fourth Proportional to 3,580.46, 5,370.12 and 1,731.08

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Solution

The fourth proportional to 3,580.46, 5,370.12 and 1,731.08 is: 2,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.46 : 5,370.12 = 1,731.08 : x
  2. Step 2: Convert to fraction form
    3,580.46/5,370.12 = 1,731.08/x
  3. Step 3: Cross multiply
    3,580.46x = 5,370.12 × 1,731.08
  4. Step 4: Simplify right side
    3,580.46x = 9,296,107.33
  5. Step 5: Solve for x
    x = 9,296,107.33/3,580.46
  6. Step 6: Final answer
    x = 2,596.34

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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.