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Finding the Fourth Proportional to 3,494.34, 5,242.32 and 1,546.56

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Solution

The fourth proportional to 3,494.34, 5,242.32 and 1,546.56 is: 2,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.34 : 5,242.32 = 1,546.56 : x
  2. Step 2: Convert to fraction form
    3,494.34/5,242.32 = 1,546.56/x
  3. Step 3: Cross multiply
    3,494.34x = 5,242.32 × 1,546.56
  4. Step 4: Simplify right side
    3,494.34x = 8,107,562.42
  5. Step 5: Solve for x
    x = 8,107,562.42/3,494.34
  6. Step 6: Final answer
    x = 2,320.20

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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.