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Finding the Fourth Proportional to 5,662.43, 7,815.08 and 3,304.57

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Solution

The fourth proportional to 5,662.43, 7,815.08 and 3,304.57 is: 4,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.43 : 7,815.08 = 3,304.57 : x
  2. Step 2: Convert to fraction form
    5,662.43/7,815.08 = 3,304.57/x
  3. Step 3: Cross multiply
    5,662.43x = 7,815.08 × 3,304.57
  4. Step 4: Simplify right side
    5,662.43x = 25,825,467.64
  5. Step 5: Solve for x
    x = 25,825,467.64/5,662.43
  6. Step 6: Final answer
    x = 4,560.84

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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.