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Finding the Fourth Proportional to 3,456.17, 4,769.54 and 1,884.28

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Solution

The fourth proportional to 3,456.17, 4,769.54 and 1,884.28 is: 2,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.17 : 4,769.54 = 1,884.28 : x
  2. Step 2: Convert to fraction form
    3,456.17/4,769.54 = 1,884.28/x
  3. Step 3: Cross multiply
    3,456.17x = 4,769.54 × 1,884.28
  4. Step 4: Simplify right side
    3,456.17x = 8,987,129.69
  5. Step 5: Solve for x
    x = 8,987,129.69/3,456.17
  6. Step 6: Final answer
    x = 2,600.31

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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.