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Finding the Fourth Proportional to 4,322.68, 6,485.18 and 1,549.64

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Solution

The fourth proportional to 4,322.68, 6,485.18 and 1,549.64 is: 2,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.68 : 6,485.18 = 1,549.64 : x
  2. Step 2: Convert to fraction form
    4,322.68/6,485.18 = 1,549.64/x
  3. Step 3: Cross multiply
    4,322.68x = 6,485.18 × 1,549.64
  4. Step 4: Simplify right side
    4,322.68x = 10,049,694.34
  5. Step 5: Solve for x
    x = 10,049,694.34/4,322.68
  6. Step 6: Final answer
    x = 2,324.88

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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.