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Finding the Fourth Proportional to 3,456.12, 4,769.64 and 1,884.24

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Solution

The fourth proportional to 3,456.12, 4,769.64 and 1,884.24 is: 2,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.12 : 4,769.64 = 1,884.24 : x
  2. Step 2: Convert to fraction form
    3,456.12/4,769.64 = 1,884.24/x
  3. Step 3: Cross multiply
    3,456.12x = 4,769.64 × 1,884.24
  4. Step 4: Simplify right side
    3,456.12x = 8,987,146.47
  5. Step 5: Solve for x
    x = 8,987,146.47/3,456.12
  6. Step 6: Final answer
    x = 2,600.36

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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.