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Finding the Fourth Proportional to 4,197.32, 5,791.80 and 2,429.48

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Solution

The fourth proportional to 4,197.32, 5,791.80 and 2,429.48 is: 3,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.32 : 5,791.80 = 2,429.48 : x
  2. Step 2: Convert to fraction form
    4,197.32/5,791.80 = 2,429.48/x
  3. Step 3: Cross multiply
    4,197.32x = 5,791.80 × 2,429.48
  4. Step 4: Simplify right side
    4,197.32x = 14,071,062.26
  5. Step 5: Solve for x
    x = 14,071,062.26/4,197.32
  6. Step 6: Final answer
    x = 3,352.39

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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.