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Finding the Fourth Proportional to 4,322.74, 5,964.46 and 2,751.14

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Solution

The fourth proportional to 4,322.74, 5,964.46 and 2,751.14 is: 3,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.74 : 5,964.46 = 2,751.14 : x
  2. Step 2: Convert to fraction form
    4,322.74/5,964.46 = 2,751.14/x
  3. Step 3: Cross multiply
    4,322.74x = 5,964.46 × 2,751.14
  4. Step 4: Simplify right side
    4,322.74x = 16,409,064.48
  5. Step 5: Solve for x
    x = 16,409,064.48/4,322.74
  6. Step 6: Final answer
    x = 3,795.99

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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.