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Finding the Fourth Proportional to 5,305.62, 7,952.38 and 2,528.36

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Solution

The fourth proportional to 5,305.62, 7,952.38 and 2,528.36 is: 3,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.62 : 7,952.38 = 2,528.36 : x
  2. Step 2: Convert to fraction form
    5,305.62/7,952.38 = 2,528.36/x
  3. Step 3: Cross multiply
    5,305.62x = 7,952.38 × 2,528.36
  4. Step 4: Simplify right side
    5,305.62x = 20,106,479.50
  5. Step 5: Solve for x
    x = 20,106,479.50/5,305.62
  6. Step 6: Final answer
    x = 3,789.66

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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.