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Finding the Fourth Proportional to 3,458.47, 4,771.15 and 2,131.69

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Solution

The fourth proportional to 3,458.47, 4,771.15 and 2,131.69 is: 2,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.47 : 4,771.15 = 2,131.69 : x
  2. Step 2: Convert to fraction form
    3,458.47/4,771.15 = 2,131.69/x
  3. Step 3: Cross multiply
    3,458.47x = 4,771.15 × 2,131.69
  4. Step 4: Simplify right side
    3,458.47x = 10,170,602.09
  5. Step 5: Solve for x
    x = 10,170,602.09/3,458.47
  6. Step 6: Final answer
    x = 2,940.78

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