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Finding the Fourth Proportional to 3,516.37, 5,272.92 and 1,294.64

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Solution

The fourth proportional to 3,516.37, 5,272.92 and 1,294.64 is: 1,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.37 : 5,272.92 = 1,294.64 : x
  2. Step 2: Convert to fraction form
    3,516.37/5,272.92 = 1,294.64/x
  3. Step 3: Cross multiply
    3,516.37x = 5,272.92 × 1,294.64
  4. Step 4: Simplify right side
    3,516.37x = 6,826,506.78
  5. Step 5: Solve for x
    x = 6,826,506.78/3,516.37
  6. Step 6: Final answer
    x = 1,941.35

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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.