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Finding the Fourth Proportional to 3,952.53, 5,928.48 and 2,305.80

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Solution

The fourth proportional to 3,952.53, 5,928.48 and 2,305.80 is: 3,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.53 : 5,928.48 = 2,305.80 : x
  2. Step 2: Convert to fraction form
    3,952.53/5,928.48 = 2,305.80/x
  3. Step 3: Cross multiply
    3,952.53x = 5,928.48 × 2,305.80
  4. Step 4: Simplify right side
    3,952.53x = 13,669,889.18
  5. Step 5: Solve for x
    x = 13,669,889.18/3,952.53
  6. Step 6: Final answer
    x = 3,458.52

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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.