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Finding the Fourth Proportional to 3,451.69, 5,178.34 and 986.54

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Solution

The fourth proportional to 3,451.69, 5,178.34 and 986.54 is: 1,480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.69 : 5,178.34 = 986.54 : x
  2. Step 2: Convert to fraction form
    3,451.69/5,178.34 = 986.54/x
  3. Step 3: Cross multiply
    3,451.69x = 5,178.34 × 986.54
  4. Step 4: Simplify right side
    3,451.69x = 5,108,639.54
  5. Step 5: Solve for x
    x = 5,108,639.54/3,451.69
  6. Step 6: Final answer
    x = 1,480.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.