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Finding the Fourth Proportional to 5,536.40, 7,640.92 and 3,178.49

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Solution

The fourth proportional to 5,536.40, 7,640.92 and 3,178.49 is: 4,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.40 : 7,640.92 = 3,178.49 : x
  2. Step 2: Convert to fraction form
    5,536.40/7,640.92 = 3,178.49/x
  3. Step 3: Cross multiply
    5,536.40x = 7,640.92 × 3,178.49
  4. Step 4: Simplify right side
    5,536.40x = 24,286,533.71
  5. Step 5: Solve for x
    x = 24,286,533.71/5,536.40
  6. Step 6: Final answer
    x = 4,386.71

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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.