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Finding the Fourth Proportional to 5,804.49, 8,012.27 and 3,446.63

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Solution

The fourth proportional to 5,804.49, 8,012.27 and 3,446.63 is: 4,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.49 : 8,012.27 = 3,446.63 : x
  2. Step 2: Convert to fraction form
    5,804.49/8,012.27 = 3,446.63/x
  3. Step 3: Cross multiply
    5,804.49x = 8,012.27 × 3,446.63
  4. Step 4: Simplify right side
    5,804.49x = 27,615,272.86
  5. Step 5: Solve for x
    x = 27,615,272.86/5,804.49
  6. Step 6: Final answer
    x = 4,757.57

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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.