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Finding the Fourth Proportional to 3,563.12, 4,921.12 and 3,514.56

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Solution

The fourth proportional to 3,563.12, 4,921.12 and 3,514.56 is: 4,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.12 : 4,921.12 = 3,514.56 : x
  2. Step 2: Convert to fraction form
    3,563.12/4,921.12 = 3,514.56/x
  3. Step 3: Cross multiply
    3,563.12x = 4,921.12 × 3,514.56
  4. Step 4: Simplify right side
    3,563.12x = 17,295,571.51
  5. Step 5: Solve for x
    x = 17,295,571.51/3,563.12
  6. Step 6: Final answer
    x = 4,854.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.