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Finding the Fourth Proportional to 4,189.77, 5,776.38 and 3,482.22

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Solution

The fourth proportional to 4,189.77, 5,776.38 and 3,482.22 is: 4,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.77 : 5,776.38 = 3,482.22 : x
  2. Step 2: Convert to fraction form
    4,189.77/5,776.38 = 3,482.22/x
  3. Step 3: Cross multiply
    4,189.77x = 5,776.38 × 3,482.22
  4. Step 4: Simplify right side
    4,189.77x = 20,114,625.96
  5. Step 5: Solve for x
    x = 20,114,625.96/4,189.77
  6. Step 6: Final answer
    x = 4,800.89

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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.