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Finding the Fourth Proportional to 3,424.62, 5,137.29 and 1,116.54

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Solution

The fourth proportional to 3,424.62, 5,137.29 and 1,116.54 is: 1,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.62 : 5,137.29 = 1,116.54 : x
  2. Step 2: Convert to fraction form
    3,424.62/5,137.29 = 1,116.54/x
  3. Step 3: Cross multiply
    3,424.62x = 5,137.29 × 1,116.54
  4. Step 4: Simplify right side
    3,424.62x = 5,735,989.78
  5. Step 5: Solve for x
    x = 5,735,989.78/3,424.62
  6. Step 6: Final answer
    x = 1,674.93

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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.