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Finding the Fourth Proportional to 5,481, 8,224.74 and 3,698.46

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Solution

The fourth proportional to 5,481, 8,224.74 and 3,698.46 is: 5,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481 : 8,224.74 = 3,698.46 : x
  2. Step 2: Convert to fraction form
    5,481/8,224.74 = 3,698.46/x
  3. Step 3: Cross multiply
    5,481x = 8,224.74 × 3,698.46
  4. Step 4: Simplify right side
    5,481x = 30,418,871.90
  5. Step 5: Solve for x
    x = 30,418,871.90/5,481
  6. Step 6: Final answer
    x = 5,549.88

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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.