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Finding the Fourth Proportional to 3,661.63, 5,055.34 and 2,820.75

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Solution

The fourth proportional to 3,661.63, 5,055.34 and 2,820.75 is: 3,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.63 : 5,055.34 = 2,820.75 : x
  2. Step 2: Convert to fraction form
    3,661.63/5,055.34 = 2,820.75/x
  3. Step 3: Cross multiply
    3,661.63x = 5,055.34 × 2,820.75
  4. Step 4: Simplify right side
    3,661.63x = 14,259,850.31
  5. Step 5: Solve for x
    x = 14,259,850.31/3,661.63
  6. Step 6: Final answer
    x = 3,894.40

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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.