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Finding the Fourth Proportional to 5,662.44, 7,815.78 and 3,305.88

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Solution

The fourth proportional to 5,662.44, 7,815.78 and 3,305.88 is: 4,563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.44 : 7,815.78 = 3,305.88 : x
  2. Step 2: Convert to fraction form
    5,662.44/7,815.78 = 3,305.88/x
  3. Step 3: Cross multiply
    5,662.44x = 7,815.78 × 3,305.88
  4. Step 4: Simplify right side
    5,662.44x = 25,838,030.79
  5. Step 5: Solve for x
    x = 25,838,030.79/5,662.44
  6. Step 6: Final answer
    x = 4,563.06

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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.