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Finding the Fourth Proportional to 4,199.77, 6,290.08 and 2,010.05

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Solution

The fourth proportional to 4,199.77, 6,290.08 and 2,010.05 is: 3,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.77 : 6,290.08 = 2,010.05 : x
  2. Step 2: Convert to fraction form
    4,199.77/6,290.08 = 2,010.05/x
  3. Step 3: Cross multiply
    4,199.77x = 6,290.08 × 2,010.05
  4. Step 4: Simplify right side
    4,199.77x = 12,643,375.30
  5. Step 5: Solve for x
    x = 12,643,375.30/4,199.77
  6. Step 6: Final answer
    x = 3,010.49

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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.