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Finding the Fourth Proportional to 3,662.87, 5,055.66 and 2,091.87

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Solution

The fourth proportional to 3,662.87, 5,055.66 and 2,091.87 is: 2,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.87 : 5,055.66 = 2,091.87 : x
  2. Step 2: Convert to fraction form
    3,662.87/5,055.66 = 2,091.87/x
  3. Step 3: Cross multiply
    3,662.87x = 5,055.66 × 2,091.87
  4. Step 4: Simplify right side
    3,662.87x = 10,575,783.48
  5. Step 5: Solve for x
    x = 10,575,783.48/3,662.87
  6. Step 6: Final answer
    x = 2,887.30

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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.