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Finding the Fourth Proportional to 4,954.68, 6,837.42 and 2,716.53

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Solution

The fourth proportional to 4,954.68, 6,837.42 and 2,716.53 is: 3,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.68 : 6,837.42 = 2,716.53 : x
  2. Step 2: Convert to fraction form
    4,954.68/6,837.42 = 2,716.53/x
  3. Step 3: Cross multiply
    4,954.68x = 6,837.42 × 2,716.53
  4. Step 4: Simplify right side
    4,954.68x = 18,574,056.55
  5. Step 5: Solve for x
    x = 18,574,056.55/4,954.68
  6. Step 6: Final answer
    x = 3,748.79

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Why These Related Problems?

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