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Finding the Fourth Proportional to 4,146.39, 5,723.22 and 2,468.97

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Solution

The fourth proportional to 4,146.39, 5,723.22 and 2,468.97 is: 3,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.39 : 5,723.22 = 2,468.97 : x
  2. Step 2: Convert to fraction form
    4,146.39/5,723.22 = 2,468.97/x
  3. Step 3: Cross multiply
    4,146.39x = 5,723.22 × 2,468.97
  4. Step 4: Simplify right side
    4,146.39x = 14,130,458.48
  5. Step 5: Solve for x
    x = 14,130,458.48/4,146.39
  6. Step 6: Final answer
    x = 3,407.89

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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.