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Finding the Fourth Proportional to 5,305.34, 7,960.19 and 2,671.43

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Solution

The fourth proportional to 5,305.34, 7,960.19 and 2,671.43 is: 4,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.34 : 7,960.19 = 2,671.43 : x
  2. Step 2: Convert to fraction form
    5,305.34/7,960.19 = 2,671.43/x
  3. Step 3: Cross multiply
    5,305.34x = 7,960.19 × 2,671.43
  4. Step 4: Simplify right side
    5,305.34x = 21,265,050.57
  5. Step 5: Solve for x
    x = 21,265,050.57/5,305.34
  6. Step 6: Final answer
    x = 4,008.24

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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.