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Finding the Fourth Proportional to 4,613.50, 6,920.22 and 3,986.89

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Solution

The fourth proportional to 4,613.50, 6,920.22 and 3,986.89 is: 5,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.50 : 6,920.22 = 3,986.89 : x
  2. Step 2: Convert to fraction form
    4,613.50/6,920.22 = 3,986.89/x
  3. Step 3: Cross multiply
    4,613.50x = 6,920.22 × 3,986.89
  4. Step 4: Simplify right side
    4,613.50x = 27,590,135.98
  5. Step 5: Solve for x
    x = 27,590,135.98/4,613.50
  6. Step 6: Final answer
    x = 5,980.31

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Why These Related Problems?

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