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Finding the Fourth Proportional to 4,205.79, 5,761.96 and 4,048.15

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Solution

The fourth proportional to 4,205.79, 5,761.96 and 4,048.15 is: 5,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.79 : 5,761.96 = 4,048.15 : x
  2. Step 2: Convert to fraction form
    4,205.79/5,761.96 = 4,048.15/x
  3. Step 3: Cross multiply
    4,205.79x = 5,761.96 × 4,048.15
  4. Step 4: Simplify right side
    4,205.79x = 23,325,278.37
  5. Step 5: Solve for x
    x = 23,325,278.37/4,205.79
  6. Step 6: Final answer
    x = 5,545.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.