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Finding the Fourth Proportional to 3,613.05, 5,370.82 and 3,506.64

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Solution

The fourth proportional to 3,613.05, 5,370.82 and 3,506.64 is: 5,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.05 : 5,370.82 = 3,506.64 : x
  2. Step 2: Convert to fraction form
    3,613.05/5,370.82 = 3,506.64/x
  3. Step 3: Cross multiply
    3,613.05x = 5,370.82 × 3,506.64
  4. Step 4: Simplify right side
    3,613.05x = 18,833,516.49
  5. Step 5: Solve for x
    x = 18,833,516.49/3,613.05
  6. Step 6: Final answer
    x = 5,212.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.