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Finding the Fourth Proportional to 3,561, 5,341.58 and 1,480.41

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Solution

The fourth proportional to 3,561, 5,341.58 and 1,480.41 is: 2,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561 : 5,341.58 = 1,480.41 : x
  2. Step 2: Convert to fraction form
    3,561/5,341.58 = 1,480.41/x
  3. Step 3: Cross multiply
    3,561x = 5,341.58 × 1,480.41
  4. Step 4: Simplify right side
    3,561x = 7,907,721.05
  5. Step 5: Solve for x
    x = 7,907,721.05/3,561
  6. Step 6: Final answer
    x = 2,220.65

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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.