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Finding the Fourth Proportional to 3,321.57, 4,970.70 and 2,729.46

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Solution

The fourth proportional to 3,321.57, 4,970.70 and 2,729.46 is: 4,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.57 : 4,970.70 = 2,729.46 : x
  2. Step 2: Convert to fraction form
    3,321.57/4,970.70 = 2,729.46/x
  3. Step 3: Cross multiply
    3,321.57x = 4,970.70 × 2,729.46
  4. Step 4: Simplify right side
    3,321.57x = 13,567,326.82
  5. Step 5: Solve for x
    x = 13,567,326.82/3,321.57
  6. Step 6: Final answer
    x = 4,084.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.