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Finding the Fourth Proportional to 3,221.52, 4,833.50 and 1,275.09

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Solution

The fourth proportional to 3,221.52, 4,833.50 and 1,275.09 is: 1,913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.52 : 4,833.50 = 1,275.09 : x
  2. Step 2: Convert to fraction form
    3,221.52/4,833.50 = 1,275.09/x
  3. Step 3: Cross multiply
    3,221.52x = 4,833.50 × 1,275.09
  4. Step 4: Simplify right side
    3,221.52x = 6,163,141.14
  5. Step 5: Solve for x
    x = 6,163,141.14/3,221.52
  6. Step 6: Final answer
    x = 1,913.12

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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.