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Finding the Fourth Proportional to 3,664.68, 5,497.02 and 2,434.49

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Solution

The fourth proportional to 3,664.68, 5,497.02 and 2,434.49 is: 3,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.68 : 5,497.02 = 2,434.49 : x
  2. Step 2: Convert to fraction form
    3,664.68/5,497.02 = 2,434.49/x
  3. Step 3: Cross multiply
    3,664.68x = 5,497.02 × 2,434.49
  4. Step 4: Simplify right side
    3,664.68x = 13,382,440.22
  5. Step 5: Solve for x
    x = 13,382,440.22/3,664.68
  6. Step 6: Final answer
    x = 3,651.74

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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.