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Finding the Fourth Proportional to 3,821.64, 5,271.92 and 2,496.12

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Solution

The fourth proportional to 3,821.64, 5,271.92 and 2,496.12 is: 3,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.64 : 5,271.92 = 2,496.12 : x
  2. Step 2: Convert to fraction form
    3,821.64/5,271.92 = 2,496.12/x
  3. Step 3: Cross multiply
    3,821.64x = 5,271.92 × 2,496.12
  4. Step 4: Simplify right side
    3,821.64x = 13,159,351.19
  5. Step 5: Solve for x
    x = 13,159,351.19/3,821.64
  6. Step 6: Final answer
    x = 3,443.38

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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.