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Finding the Fourth Proportional to 4,900.43, 6,763.67 and 3,013.64

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Solution

The fourth proportional to 4,900.43, 6,763.67 and 3,013.64 is: 4,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.43 : 6,763.67 = 3,013.64 : x
  2. Step 2: Convert to fraction form
    4,900.43/6,763.67 = 3,013.64/x
  3. Step 3: Cross multiply
    4,900.43x = 6,763.67 × 3,013.64
  4. Step 4: Simplify right side
    4,900.43x = 20,383,266.46
  5. Step 5: Solve for x
    x = 20,383,266.46/4,900.43
  6. Step 6: Final answer
    x = 4,159.49

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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.