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Finding the Fourth Proportional to 4,009.90, 5,516.49 and 3,828.46

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Solution

The fourth proportional to 4,009.90, 5,516.49 and 3,828.46 is: 5,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.90 : 5,516.49 = 3,828.46 : x
  2. Step 2: Convert to fraction form
    4,009.90/5,516.49 = 3,828.46/x
  3. Step 3: Cross multiply
    4,009.90x = 5,516.49 × 3,828.46
  4. Step 4: Simplify right side
    4,009.90x = 21,119,661.31
  5. Step 5: Solve for x
    x = 21,119,661.31/4,009.90
  6. Step 6: Final answer
    x = 5,266.88

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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.