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Finding the Fourth Proportional to 3,646.64, 5,034.21 and 2,322.14

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Solution

The fourth proportional to 3,646.64, 5,034.21 and 2,322.14 is: 3,205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.64 : 5,034.21 = 2,322.14 : x
  2. Step 2: Convert to fraction form
    3,646.64/5,034.21 = 2,322.14/x
  3. Step 3: Cross multiply
    3,646.64x = 5,034.21 × 2,322.14
  4. Step 4: Simplify right side
    3,646.64x = 11,690,103.63
  5. Step 5: Solve for x
    x = 11,690,103.63/3,646.64
  6. Step 6: Final answer
    x = 3,205.72

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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.