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Finding the Fourth Proportional to 4,980.96, 6,872.30 and 3,213.58

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Solution

The fourth proportional to 4,980.96, 6,872.30 and 3,213.58 is: 4,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.96 : 6,872.30 = 3,213.58 : x
  2. Step 2: Convert to fraction form
    4,980.96/6,872.30 = 3,213.58/x
  3. Step 3: Cross multiply
    4,980.96x = 6,872.30 × 3,213.58
  4. Step 4: Simplify right side
    4,980.96x = 22,084,685.83
  5. Step 5: Solve for x
    x = 22,084,685.83/4,980.96
  6. Step 6: Final answer
    x = 4,433.82

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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.