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Finding the Fourth Proportional to 5,472.40, 7,541 and 3,896.08

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Solution

The fourth proportional to 5,472.40, 7,541 and 3,896.08 is: 5,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.40 : 7,541 = 3,896.08 : x
  2. Step 2: Convert to fraction form
    5,472.40/7,541 = 3,896.08/x
  3. Step 3: Cross multiply
    5,472.40x = 7,541 × 3,896.08
  4. Step 4: Simplify right side
    5,472.40x = 29,380,339.28
  5. Step 5: Solve for x
    x = 29,380,339.28/5,472.40
  6. Step 6: Final answer
    x = 5,368.82

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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.