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Finding the Fourth Proportional to 4,001.69, 5,527.29 and 2,828.00

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Solution

The fourth proportional to 4,001.69, 5,527.29 and 2,828.00 is: 3,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.69 : 5,527.29 = 2,828.00 : x
  2. Step 2: Convert to fraction form
    4,001.69/5,527.29 = 2,828.00/x
  3. Step 3: Cross multiply
    4,001.69x = 5,527.29 × 2,828.00
  4. Step 4: Simplify right side
    4,001.69x = 15,631,148.48
  5. Step 5: Solve for x
    x = 15,631,148.48/4,001.69
  6. Step 6: Final answer
    x = 3,906.14

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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.