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Finding the Fourth Proportional to 5,178.29, 7,768.80 and 1,894.14

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Solution

The fourth proportional to 5,178.29, 7,768.80 and 1,894.14 is: 2,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.29 : 7,768.80 = 1,894.14 : x
  2. Step 2: Convert to fraction form
    5,178.29/7,768.80 = 1,894.14/x
  3. Step 3: Cross multiply
    5,178.29x = 7,768.80 × 1,894.14
  4. Step 4: Simplify right side
    5,178.29x = 14,715,194.83
  5. Step 5: Solve for x
    x = 14,715,194.83/5,178.29
  6. Step 6: Final answer
    x = 2,841.71

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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.