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Finding the Fourth Proportional to 3,828.46, 5,283.00 and 3,514.76

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Solution

The fourth proportional to 3,828.46, 5,283.00 and 3,514.76 is: 4,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.46 : 5,283.00 = 3,514.76 : x
  2. Step 2: Convert to fraction form
    3,828.46/5,283.00 = 3,514.76/x
  3. Step 3: Cross multiply
    3,828.46x = 5,283.00 × 3,514.76
  4. Step 4: Simplify right side
    3,828.46x = 18,568,460.59
  5. Step 5: Solve for x
    x = 18,568,460.59/3,828.46
  6. Step 6: Final answer
    x = 4,850.12

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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.