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Finding the Fourth Proportional to 5,354.96, 7,371.66 and 4,604.54

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Solution

The fourth proportional to 5,354.96, 7,371.66 and 4,604.54 is: 6,338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.96 : 7,371.66 = 4,604.54 : x
  2. Step 2: Convert to fraction form
    5,354.96/7,371.66 = 4,604.54/x
  3. Step 3: Cross multiply
    5,354.96x = 7,371.66 × 4,604.54
  4. Step 4: Simplify right side
    5,354.96x = 33,943,103.34
  5. Step 5: Solve for x
    x = 33,943,103.34/5,354.96
  6. Step 6: Final answer
    x = 6,338.63

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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.