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Finding the Fourth Proportional to 3,871.32, 5,776.52 and 3,636.24

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Solution

The fourth proportional to 3,871.32, 5,776.52 and 3,636.24 is: 5,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.32 : 5,776.52 = 3,636.24 : x
  2. Step 2: Convert to fraction form
    3,871.32/5,776.52 = 3,636.24/x
  3. Step 3: Cross multiply
    3,871.32x = 5,776.52 × 3,636.24
  4. Step 4: Simplify right side
    3,871.32x = 21,004,813.08
  5. Step 5: Solve for x
    x = 21,004,813.08/3,871.32
  6. Step 6: Final answer
    x = 5,425.75

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