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Finding the Fourth Proportional to 4,333.38, 5,980.77 and 3,221.70

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Solution

The fourth proportional to 4,333.38, 5,980.77 and 3,221.70 is: 4,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.38 : 5,980.77 = 3,221.70 : x
  2. Step 2: Convert to fraction form
    4,333.38/5,980.77 = 3,221.70/x
  3. Step 3: Cross multiply
    4,333.38x = 5,980.77 × 3,221.70
  4. Step 4: Simplify right side
    4,333.38x = 19,268,246.71
  5. Step 5: Solve for x
    x = 19,268,246.71/4,333.38
  6. Step 6: Final answer
    x = 4,446.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.