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Finding the Fourth Proportional to 4,305.52, 6,458.28 and 2,844.33

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Solution

The fourth proportional to 4,305.52, 6,458.28 and 2,844.33 is: 4,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.52 : 6,458.28 = 2,844.33 : x
  2. Step 2: Convert to fraction form
    4,305.52/6,458.28 = 2,844.33/x
  3. Step 3: Cross multiply
    4,305.52x = 6,458.28 × 2,844.33
  4. Step 4: Simplify right side
    4,305.52x = 18,369,496.99
  5. Step 5: Solve for x
    x = 18,369,496.99/4,305.52
  6. Step 6: Final answer
    x = 4,266.50

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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.