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Finding the Fourth Proportional to 3,646.46, 5,472.43 and 2,004.39

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Solution

The fourth proportional to 3,646.46, 5,472.43 and 2,004.39 is: 3,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.46 : 5,472.43 = 2,004.39 : x
  2. Step 2: Convert to fraction form
    3,646.46/5,472.43 = 2,004.39/x
  3. Step 3: Cross multiply
    3,646.46x = 5,472.43 × 2,004.39
  4. Step 4: Simplify right side
    3,646.46x = 10,968,878.96
  5. Step 5: Solve for x
    x = 10,968,878.96/3,646.46
  6. Step 6: Final answer
    x = 3,008.09

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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.