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Finding the Fourth Proportional to 4,894.29, 7,341.33 and 1,196.54

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Solution

The fourth proportional to 4,894.29, 7,341.33 and 1,196.54 is: 1,794.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.29 : 7,341.33 = 1,196.54 : x
  2. Step 2: Convert to fraction form
    4,894.29/7,341.33 = 1,196.54/x
  3. Step 3: Cross multiply
    4,894.29x = 7,341.33 × 1,196.54
  4. Step 4: Simplify right side
    4,894.29x = 8,784,190.31
  5. Step 5: Solve for x
    x = 8,784,190.31/4,894.29
  6. Step 6: Final answer
    x = 1,794.78

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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.