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Finding the Fourth Proportional to 3,516.61, 5,274.96 and 919.55

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Solution

The fourth proportional to 3,516.61, 5,274.96 and 919.55 is: 1,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.61 : 5,274.96 = 919.55 : x
  2. Step 2: Convert to fraction form
    3,516.61/5,274.96 = 919.55/x
  3. Step 3: Cross multiply
    3,516.61x = 5,274.96 × 919.55
  4. Step 4: Simplify right side
    3,516.61x = 4,850,577.29
  5. Step 5: Solve for x
    x = 4,850,577.29/3,516.61
  6. Step 6: Final answer
    x = 1,379.33

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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.