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Finding the Fourth Proportional to 3,546.76, 5,320.14 and 949.62

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Solution

The fourth proportional to 3,546.76, 5,320.14 and 949.62 is: 1,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.76 : 5,320.14 = 949.62 : x
  2. Step 2: Convert to fraction form
    3,546.76/5,320.14 = 949.62/x
  3. Step 3: Cross multiply
    3,546.76x = 5,320.14 × 949.62
  4. Step 4: Simplify right side
    3,546.76x = 5,052,111.35
  5. Step 5: Solve for x
    x = 5,052,111.35/3,546.76
  6. Step 6: Final answer
    x = 1,424.43

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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.