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Finding the Fourth Proportional to 3,456.54, 5,178.60 and 1,894.86

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Solution

The fourth proportional to 3,456.54, 5,178.60 and 1,894.86 is: 2,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.54 : 5,178.60 = 1,894.86 : x
  2. Step 2: Convert to fraction form
    3,456.54/5,178.60 = 1,894.86/x
  3. Step 3: Cross multiply
    3,456.54x = 5,178.60 × 1,894.86
  4. Step 4: Simplify right side
    3,456.54x = 9,812,722.00
  5. Step 5: Solve for x
    x = 9,812,722.00/3,456.54
  6. Step 6: Final answer
    x = 2,838.89

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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.