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Finding the Fourth Proportional to 4,840.22, 7,254.40 and 3,446

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Solution

The fourth proportional to 4,840.22, 7,254.40 and 3,446 is: 5,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.22 : 7,254.40 = 3,446 : x
  2. Step 2: Convert to fraction form
    4,840.22/7,254.40 = 3,446/x
  3. Step 3: Cross multiply
    4,840.22x = 7,254.40 × 3,446
  4. Step 4: Simplify right side
    4,840.22x = 24,998,662.40
  5. Step 5: Solve for x
    x = 24,998,662.40/4,840.22
  6. Step 6: Final answer
    x = 5,164.78

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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.