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Finding the Fourth Proportional to 5,636.35, 7,769.92 and 3,952.68

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Solution

The fourth proportional to 5,636.35, 7,769.92 and 3,952.68 is: 5,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.35 : 7,769.92 = 3,952.68 : x
  2. Step 2: Convert to fraction form
    5,636.35/7,769.92 = 3,952.68/x
  3. Step 3: Cross multiply
    5,636.35x = 7,769.92 × 3,952.68
  4. Step 4: Simplify right side
    5,636.35x = 30,712,007.39
  5. Step 5: Solve for x
    x = 30,712,007.39/5,636.35
  6. Step 6: Final answer
    x = 5,448.92

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