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Finding the Fourth Proportional to 3,573.44, 5,325.09 and 3,456

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Solution

The fourth proportional to 3,573.44, 5,325.09 and 3,456 is: 5,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.44 : 5,325.09 = 3,456 : x
  2. Step 2: Convert to fraction form
    3,573.44/5,325.09 = 3,456/x
  3. Step 3: Cross multiply
    3,573.44x = 5,325.09 × 3,456
  4. Step 4: Simplify right side
    3,573.44x = 18,403,511.04
  5. Step 5: Solve for x
    x = 18,403,511.04/3,573.44
  6. Step 6: Final answer
    x = 5,150.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.