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Finding the Fourth Proportional to 5,178.13, 7,767.74 and 1,891.94

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Solution

The fourth proportional to 5,178.13, 7,767.74 and 1,891.94 is: 2,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.13 : 7,767.74 = 1,891.94 : x
  2. Step 2: Convert to fraction form
    5,178.13/7,767.74 = 1,891.94/x
  3. Step 3: Cross multiply
    5,178.13x = 7,767.74 × 1,891.94
  4. Step 4: Simplify right side
    5,178.13x = 14,696,063.91
  5. Step 5: Solve for x
    x = 14,696,063.91/5,178.13
  6. Step 6: Final answer
    x = 2,838.10

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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.