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Finding the Fourth Proportional to 5,365.83, 7,398 and 3,474.08

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Solution

The fourth proportional to 5,365.83, 7,398 and 3,474.08 is: 4,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.83 : 7,398 = 3,474.08 : x
  2. Step 2: Convert to fraction form
    5,365.83/7,398 = 3,474.08/x
  3. Step 3: Cross multiply
    5,365.83x = 7,398 × 3,474.08
  4. Step 4: Simplify right side
    5,365.83x = 25,701,206.85
  5. Step 5: Solve for x
    x = 25,701,206.85/5,365.83
  6. Step 6: Final answer
    x = 4,789.79

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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.