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Finding the Fourth Proportional to 3,271.85, 4,906.13 and 1,515.34

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Solution

The fourth proportional to 3,271.85, 4,906.13 and 1,515.34 is: 2,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.85 : 4,906.13 = 1,515.34 : x
  2. Step 2: Convert to fraction form
    3,271.85/4,906.13 = 1,515.34/x
  3. Step 3: Cross multiply
    3,271.85x = 4,906.13 × 1,515.34
  4. Step 4: Simplify right side
    3,271.85x = 7,434,471.09
  5. Step 5: Solve for x
    x = 7,434,471.09/3,271.85
  6. Step 6: Final answer
    x = 2,272.25

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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.