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Finding the Fourth Proportional to 5,636.76, 7,771.65 and 3,616.62

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Solution

The fourth proportional to 5,636.76, 7,771.65 and 3,616.62 is: 4,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.76 : 7,771.65 = 3,616.62 : x
  2. Step 2: Convert to fraction form
    5,636.76/7,771.65 = 3,616.62/x
  3. Step 3: Cross multiply
    5,636.76x = 7,771.65 × 3,616.62
  4. Step 4: Simplify right side
    5,636.76x = 28,107,104.82
  5. Step 5: Solve for x
    x = 28,107,104.82/5,636.76
  6. Step 6: Final answer
    x = 4,986.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.