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Finding the Fourth Proportional to 5,536.80, 7,640.40 and 3,178.88

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Solution

The fourth proportional to 5,536.80, 7,640.40 and 3,178.88 is: 4,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.80 : 7,640.40 = 3,178.88 : x
  2. Step 2: Convert to fraction form
    5,536.80/7,640.40 = 3,178.88/x
  3. Step 3: Cross multiply
    5,536.80x = 7,640.40 × 3,178.88
  4. Step 4: Simplify right side
    5,536.80x = 24,287,914.75
  5. Step 5: Solve for x
    x = 24,287,914.75/5,536.80
  6. Step 6: Final answer
    x = 4,386.63

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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.