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Finding the Fourth Proportional to 3,410.58, 5,108.67 and 1,563.24

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Solution

The fourth proportional to 3,410.58, 5,108.67 and 1,563.24 is: 2,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.58 : 5,108.67 = 1,563.24 : x
  2. Step 2: Convert to fraction form
    3,410.58/5,108.67 = 1,563.24/x
  3. Step 3: Cross multiply
    3,410.58x = 5,108.67 × 1,563.24
  4. Step 4: Simplify right side
    3,410.58x = 7,986,077.29
  5. Step 5: Solve for x
    x = 7,986,077.29/3,410.58
  6. Step 6: Final answer
    x = 2,341.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.