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Finding the Fourth Proportional to 3,322.47, 4,983.53 and 857.42

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Solution

The fourth proportional to 3,322.47, 4,983.53 and 857.42 is: 1,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.47 : 4,983.53 = 857.42 : x
  2. Step 2: Convert to fraction form
    3,322.47/4,983.53 = 857.42/x
  3. Step 3: Cross multiply
    3,322.47x = 4,983.53 × 857.42
  4. Step 4: Simplify right side
    3,322.47x = 4,272,949.09
  5. Step 5: Solve for x
    x = 4,272,949.09/3,322.47
  6. Step 6: Final answer
    x = 1,286.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.