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Finding the Fourth Proportional to 5,536.47, 7,640.28 and 3,178.62

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Solution

The fourth proportional to 5,536.47, 7,640.28 and 3,178.62 is: 4,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.47 : 7,640.28 = 3,178.62 : x
  2. Step 2: Convert to fraction form
    5,536.47/7,640.28 = 3,178.62/x
  3. Step 3: Cross multiply
    5,536.47x = 7,640.28 × 3,178.62
  4. Step 4: Simplify right side
    5,536.47x = 24,285,546.81
  5. Step 5: Solve for x
    x = 24,285,546.81/5,536.47
  6. Step 6: Final answer
    x = 4,386.47

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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.