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Finding the Fourth Proportional to 2,836.52, 4,243.02 and 2,566.52

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Solution

The fourth proportional to 2,836.52, 4,243.02 and 2,566.52 is: 3,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.52 : 4,243.02 = 2,566.52 : x
  2. Step 2: Convert to fraction form
    2,836.52/4,243.02 = 2,566.52/x
  3. Step 3: Cross multiply
    2,836.52x = 4,243.02 × 2,566.52
  4. Step 4: Simplify right side
    2,836.52x = 10,889,795.69
  5. Step 5: Solve for x
    x = 10,889,795.69/2,836.52
  6. Step 6: Final answer
    x = 3,839.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.