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Finding the Fourth Proportional to 4,956.49, 6,839.24 and 2,966.63

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Solution

The fourth proportional to 4,956.49, 6,839.24 and 2,966.63 is: 4,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.49 : 6,839.24 = 2,966.63 : x
  2. Step 2: Convert to fraction form
    4,956.49/6,839.24 = 2,966.63/x
  3. Step 3: Cross multiply
    4,956.49x = 6,839.24 × 2,966.63
  4. Step 4: Simplify right side
    4,956.49x = 20,289,445.53
  5. Step 5: Solve for x
    x = 20,289,445.53/4,956.49
  6. Step 6: Final answer
    x = 4,093.51

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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.