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Finding the Fourth Proportional to 3,271.91, 4,512.21 and 2,152.43

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Solution

The fourth proportional to 3,271.91, 4,512.21 and 2,152.43 is: 2,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.91 : 4,512.21 = 2,152.43 : x
  2. Step 2: Convert to fraction form
    3,271.91/4,512.21 = 2,152.43/x
  3. Step 3: Cross multiply
    3,271.91x = 4,512.21 × 2,152.43
  4. Step 4: Simplify right side
    3,271.91x = 9,712,216.17
  5. Step 5: Solve for x
    x = 9,712,216.17/3,271.91
  6. Step 6: Final answer
    x = 2,968.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.