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Finding the Fourth Proportional to 5,536.42, 7,640.10 and 3,178.50

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Solution

The fourth proportional to 5,536.42, 7,640.10 and 3,178.50 is: 4,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.42 : 7,640.10 = 3,178.50 : x
  2. Step 2: Convert to fraction form
    5,536.42/7,640.10 = 3,178.50/x
  3. Step 3: Cross multiply
    5,536.42x = 7,640.10 × 3,178.50
  4. Step 4: Simplify right side
    5,536.42x = 24,284,057.85
  5. Step 5: Solve for x
    x = 24,284,057.85/5,536.42
  6. Step 6: Final answer
    x = 4,386.24

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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.