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Finding the Fourth Proportional to 5,744.88, 7,927.93 and 3,260.88

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Solution

The fourth proportional to 5,744.88, 7,927.93 and 3,260.88 is: 4,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.88 : 7,927.93 = 3,260.88 : x
  2. Step 2: Convert to fraction form
    5,744.88/7,927.93 = 3,260.88/x
  3. Step 3: Cross multiply
    5,744.88x = 7,927.93 × 3,260.88
  4. Step 4: Simplify right side
    5,744.88x = 25,852,028.38
  5. Step 5: Solve for x
    x = 25,852,028.38/5,744.88
  6. Step 6: Final answer
    x = 4,500.01

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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.