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Finding the Fourth Proportional to 4,733.07, 6,522.03 and 3,664.38

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Solution

The fourth proportional to 4,733.07, 6,522.03 and 3,664.38 is: 5,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.07 : 6,522.03 = 3,664.38 : x
  2. Step 2: Convert to fraction form
    4,733.07/6,522.03 = 3,664.38/x
  3. Step 3: Cross multiply
    4,733.07x = 6,522.03 × 3,664.38
  4. Step 4: Simplify right side
    4,733.07x = 23,899,196.29
  5. Step 5: Solve for x
    x = 23,899,196.29/4,733.07
  6. Step 6: Final answer
    x = 5,049.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.