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Finding the Fourth Proportional to 3,624.75, 5,002.56 and 2,052.95

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Solution

The fourth proportional to 3,624.75, 5,002.56 and 2,052.95 is: 2,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.75 : 5,002.56 = 2,052.95 : x
  2. Step 2: Convert to fraction form
    3,624.75/5,002.56 = 2,052.95/x
  3. Step 3: Cross multiply
    3,624.75x = 5,002.56 × 2,052.95
  4. Step 4: Simplify right side
    3,624.75x = 10,269,980.54
  5. Step 5: Solve for x
    x = 10,269,980.54/3,624.75
  6. Step 6: Final answer
    x = 2,833.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.