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Finding the Fourth Proportional to 5,744, 7,927.80 and 3,260

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Solution

The fourth proportional to 5,744, 7,927.80 and 3,260 is: 4,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744 : 7,927.80 = 3,260 : x
  2. Step 2: Convert to fraction form
    5,744/7,927.80 = 3,260/x
  3. Step 3: Cross multiply
    5,744x = 7,927.80 × 3,260
  4. Step 4: Simplify right side
    5,744x = 25,844,628
  5. Step 5: Solve for x
    x = 25,844,628/5,744
  6. Step 6: Final answer
    x = 4,499.41

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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.