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Finding the Fourth Proportional to 4,222, 6,332.34 and 1,448.03

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Solution

The fourth proportional to 4,222, 6,332.34 and 1,448.03 is: 2,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222 : 6,332.34 = 1,448.03 : x
  2. Step 2: Convert to fraction form
    4,222/6,332.34 = 1,448.03/x
  3. Step 3: Cross multiply
    4,222x = 6,332.34 × 1,448.03
  4. Step 4: Simplify right side
    4,222x = 9,169,418.29
  5. Step 5: Solve for x
    x = 9,169,418.29/4,222
  6. Step 6: Final answer
    x = 2,171.82

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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.