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Finding the Fourth Proportional to 3,446.04, 4,764.24 and 2,548.38

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Solution

The fourth proportional to 3,446.04, 4,764.24 and 2,548.38 is: 3,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.04 : 4,764.24 = 2,548.38 : x
  2. Step 2: Convert to fraction form
    3,446.04/4,764.24 = 2,548.38/x
  3. Step 3: Cross multiply
    3,446.04x = 4,764.24 × 2,548.38
  4. Step 4: Simplify right side
    3,446.04x = 12,141,093.93
  5. Step 5: Solve for x
    x = 12,141,093.93/3,446.04
  6. Step 6: Final answer
    x = 3,523.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.