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Finding the Fourth Proportional to 3,857.96, 5,322.18 and 2,264.64

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Solution

The fourth proportional to 3,857.96, 5,322.18 and 2,264.64 is: 3,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.96 : 5,322.18 = 2,264.64 : x
  2. Step 2: Convert to fraction form
    3,857.96/5,322.18 = 2,264.64/x
  3. Step 3: Cross multiply
    3,857.96x = 5,322.18 × 2,264.64
  4. Step 4: Simplify right side
    3,857.96x = 12,052,821.72
  5. Step 5: Solve for x
    x = 12,052,821.72/3,857.96
  6. Step 6: Final answer
    x = 3,124.14

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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.