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Finding the Fourth Proportional to 3,662.38, 5,054.61 and 2,776.69

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Solution

The fourth proportional to 3,662.38, 5,054.61 and 2,776.69 is: 3,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.38 : 5,054.61 = 2,776.69 : x
  2. Step 2: Convert to fraction form
    3,662.38/5,054.61 = 2,776.69/x
  3. Step 3: Cross multiply
    3,662.38x = 5,054.61 × 2,776.69
  4. Step 4: Simplify right side
    3,662.38x = 14,035,085.04
  5. Step 5: Solve for x
    x = 14,035,085.04/3,662.38
  6. Step 6: Final answer
    x = 3,832.23

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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.