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Finding the Fourth Proportional to 5,536.68, 7,640.94 and 3,178.80

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Solution

The fourth proportional to 5,536.68, 7,640.94 and 3,178.80 is: 4,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.68 : 7,640.94 = 3,178.80 : x
  2. Step 2: Convert to fraction form
    5,536.68/7,640.94 = 3,178.80/x
  3. Step 3: Cross multiply
    5,536.68x = 7,640.94 × 3,178.80
  4. Step 4: Simplify right side
    5,536.68x = 24,289,020.07
  5. Step 5: Solve for x
    x = 24,289,020.07/5,536.68
  6. Step 6: Final answer
    x = 4,386.93

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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.