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Finding the Fourth Proportional to 5,205.75, 7,184.09 and 2,848.05

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Solution

The fourth proportional to 5,205.75, 7,184.09 and 2,848.05 is: 3,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.75 : 7,184.09 = 2,848.05 : x
  2. Step 2: Convert to fraction form
    5,205.75/7,184.09 = 2,848.05/x
  3. Step 3: Cross multiply
    5,205.75x = 7,184.09 × 2,848.05
  4. Step 4: Simplify right side
    5,205.75x = 20,460,633.28
  5. Step 5: Solve for x
    x = 20,460,633.28/5,205.75
  6. Step 6: Final answer
    x = 3,930.39

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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.