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Finding the Fourth Proportional to 4,197.30, 5,791.80 and 2,429.46

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Solution

The fourth proportional to 4,197.30, 5,791.80 and 2,429.46 is: 3,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.30 : 5,791.80 = 2,429.46 : x
  2. Step 2: Convert to fraction form
    4,197.30/5,791.80 = 2,429.46/x
  3. Step 3: Cross multiply
    4,197.30x = 5,791.80 × 2,429.46
  4. Step 4: Simplify right side
    4,197.30x = 14,070,946.43
  5. Step 5: Solve for x
    x = 14,070,946.43/4,197.30
  6. Step 6: Final answer
    x = 3,352.38

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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.