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Finding the Fourth Proportional to 3,764.49, 5,650.16 and 2,010.98

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Solution

The fourth proportional to 3,764.49, 5,650.16 and 2,010.98 is: 3,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.49 : 5,650.16 = 2,010.98 : x
  2. Step 2: Convert to fraction form
    3,764.49/5,650.16 = 2,010.98/x
  3. Step 3: Cross multiply
    3,764.49x = 5,650.16 × 2,010.98
  4. Step 4: Simplify right side
    3,764.49x = 11,362,320.45
  5. Step 5: Solve for x
    x = 11,362,320.45/3,764.49
  6. Step 6: Final answer
    x = 3,018.29

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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.