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Finding the Fourth Proportional to 4,206.80, 5,763.34 and 4,049.16

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Solution

The fourth proportional to 4,206.80, 5,763.34 and 4,049.16 is: 5,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.80 : 5,763.34 = 4,049.16 : x
  2. Step 2: Convert to fraction form
    4,206.80/5,763.34 = 4,049.16/x
  3. Step 3: Cross multiply
    4,206.80x = 5,763.34 × 4,049.16
  4. Step 4: Simplify right side
    4,206.80x = 23,336,656.98
  5. Step 5: Solve for x
    x = 23,336,656.98/4,206.80
  6. Step 6: Final answer
    x = 5,547.37

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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.