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Finding the Fourth Proportional to 5,751.30, 7,935.75 and 3,393.30

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Solution

The fourth proportional to 5,751.30, 7,935.75 and 3,393.30 is: 4,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.30 : 7,935.75 = 3,393.30 : x
  2. Step 2: Convert to fraction form
    5,751.30/7,935.75 = 3,393.30/x
  3. Step 3: Cross multiply
    5,751.30x = 7,935.75 × 3,393.30
  4. Step 4: Simplify right side
    5,751.30x = 26,928,380.48
  5. Step 5: Solve for x
    x = 26,928,380.48/5,751.30
  6. Step 6: Final answer
    x = 4,682.14

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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.