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Finding the Fourth Proportional to 4,271.70, 6,411.60 and 3,348.30

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Solution

The fourth proportional to 4,271.70, 6,411.60 and 3,348.30 is: 5,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.70 : 6,411.60 = 3,348.30 : x
  2. Step 2: Convert to fraction form
    4,271.70/6,411.60 = 3,348.30/x
  3. Step 3: Cross multiply
    4,271.70x = 6,411.60 × 3,348.30
  4. Step 4: Simplify right side
    4,271.70x = 21,467,960.28
  5. Step 5: Solve for x
    x = 21,467,960.28/4,271.70
  6. Step 6: Final answer
    x = 5,025.62

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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.