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Finding the Fourth Proportional to 4,167.63, 5,751.33 and 2,304.63

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Solution

The fourth proportional to 4,167.63, 5,751.33 and 2,304.63 is: 3,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.63 : 5,751.33 = 2,304.63 : x
  2. Step 2: Convert to fraction form
    4,167.63/5,751.33 = 2,304.63/x
  3. Step 3: Cross multiply
    4,167.63x = 5,751.33 × 2,304.63
  4. Step 4: Simplify right side
    4,167.63x = 13,254,687.66
  5. Step 5: Solve for x
    x = 13,254,687.66/4,167.63
  6. Step 6: Final answer
    x = 3,180.39

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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.