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Finding the Fourth Proportional to 4,636.32, 6,952.20 and 2,661.64

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Solution

The fourth proportional to 4,636.32, 6,952.20 and 2,661.64 is: 3,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.32 : 6,952.20 = 2,661.64 : x
  2. Step 2: Convert to fraction form
    4,636.32/6,952.20 = 2,661.64/x
  3. Step 3: Cross multiply
    4,636.32x = 6,952.20 × 2,661.64
  4. Step 4: Simplify right side
    4,636.32x = 18,504,253.61
  5. Step 5: Solve for x
    x = 18,504,253.61/4,636.32
  6. Step 6: Final answer
    x = 3,991.15

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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.