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Finding the Fourth Proportional to 3,953.48, 5,928.26 and 2,104.09

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Solution

The fourth proportional to 3,953.48, 5,928.26 and 2,104.09 is: 3,155.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.48 : 5,928.26 = 2,104.09 : x
  2. Step 2: Convert to fraction form
    3,953.48/5,928.26 = 2,104.09/x
  3. Step 3: Cross multiply
    3,953.48x = 5,928.26 × 2,104.09
  4. Step 4: Simplify right side
    3,953.48x = 12,473,567.24
  5. Step 5: Solve for x
    x = 12,473,567.24/3,953.48
  6. Step 6: Final answer
    x = 3,155.09

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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.