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Finding the Fourth Proportional to 4,932.90, 7,364.21 and 4,759.90

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Solution

The fourth proportional to 4,932.90, 7,364.21 and 4,759.90 is: 7,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.90 : 7,364.21 = 4,759.90 : x
  2. Step 2: Convert to fraction form
    4,932.90/7,364.21 = 4,759.90/x
  3. Step 3: Cross multiply
    4,932.90x = 7,364.21 × 4,759.90
  4. Step 4: Simplify right side
    4,932.90x = 35,052,860.97
  5. Step 5: Solve for x
    x = 35,052,860.97/4,932.90
  6. Step 6: Final answer
    x = 7,105.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.