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Finding the Fourth Proportional to 3,857.77, 5,789.26 and 1,666.72

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Solution

The fourth proportional to 3,857.77, 5,789.26 and 1,666.72 is: 2,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.77 : 5,789.26 = 1,666.72 : x
  2. Step 2: Convert to fraction form
    3,857.77/5,789.26 = 1,666.72/x
  3. Step 3: Cross multiply
    3,857.77x = 5,789.26 × 1,666.72
  4. Step 4: Simplify right side
    3,857.77x = 9,649,075.43
  5. Step 5: Solve for x
    x = 9,649,075.43/3,857.77
  6. Step 6: Final answer
    x = 2,501.21

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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.