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Finding the Fourth Proportional to 3,620.16, 5,426.16 and 1,866

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Solution

The fourth proportional to 3,620.16, 5,426.16 and 1,866 is: 2,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.16 : 5,426.16 = 1,866 : x
  2. Step 2: Convert to fraction form
    3,620.16/5,426.16 = 1,866/x
  3. Step 3: Cross multiply
    3,620.16x = 5,426.16 × 1,866
  4. Step 4: Simplify right side
    3,620.16x = 10,125,214.56
  5. Step 5: Solve for x
    x = 10,125,214.56/3,620.16
  6. Step 6: Final answer
    x = 2,796.90

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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.