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Finding the Fourth Proportional to 3,633.64, 5,449.02 and 2,343.40

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Solution

The fourth proportional to 3,633.64, 5,449.02 and 2,343.40 is: 3,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.64 : 5,449.02 = 2,343.40 : x
  2. Step 2: Convert to fraction form
    3,633.64/5,449.02 = 2,343.40/x
  3. Step 3: Cross multiply
    3,633.64x = 5,449.02 × 2,343.40
  4. Step 4: Simplify right side
    3,633.64x = 12,769,233.47
  5. Step 5: Solve for x
    x = 12,769,233.47/3,633.64
  6. Step 6: Final answer
    x = 3,514.17

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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.