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Finding the Fourth Proportional to 3,662.63, 5,054.63 and 2,091.23

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Solution

The fourth proportional to 3,662.63, 5,054.63 and 2,091.23 is: 2,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.63 : 5,054.63 = 2,091.23 : x
  2. Step 2: Convert to fraction form
    3,662.63/5,054.63 = 2,091.23/x
  3. Step 3: Cross multiply
    3,662.63x = 5,054.63 × 2,091.23
  4. Step 4: Simplify right side
    3,662.63x = 10,570,358.17
  5. Step 5: Solve for x
    x = 10,570,358.17/3,662.63
  6. Step 6: Final answer
    x = 2,886.01

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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.