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Finding the Fourth Proportional to 3,456.02, 5,179.38 and 1,893.68

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Solution

The fourth proportional to 3,456.02, 5,179.38 and 1,893.68 is: 2,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.02 : 5,179.38 = 1,893.68 : x
  2. Step 2: Convert to fraction form
    3,456.02/5,179.38 = 1,893.68/x
  3. Step 3: Cross multiply
    3,456.02x = 5,179.38 × 1,893.68
  4. Step 4: Simplify right side
    3,456.02x = 9,808,088.32
  5. Step 5: Solve for x
    x = 9,808,088.32/3,456.02
  6. Step 6: Final answer
    x = 2,837.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.