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Finding the Fourth Proportional to 5,178.50, 7,146.09 and 2,940.08

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Solution

The fourth proportional to 5,178.50, 7,146.09 and 2,940.08 is: 4,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.50 : 7,146.09 = 2,940.08 : x
  2. Step 2: Convert to fraction form
    5,178.50/7,146.09 = 2,940.08/x
  3. Step 3: Cross multiply
    5,178.50x = 7,146.09 × 2,940.08
  4. Step 4: Simplify right side
    5,178.50x = 21,010,076.29
  5. Step 5: Solve for x
    x = 21,010,076.29/5,178.50
  6. Step 6: Final answer
    x = 4,057.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.