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Finding the Fourth Proportional to 3,816.57, 5,712.71 and 3,291.69

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Solution

The fourth proportional to 3,816.57, 5,712.71 and 3,291.69 is: 4,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.57 : 5,712.71 = 3,291.69 : x
  2. Step 2: Convert to fraction form
    3,816.57/5,712.71 = 3,291.69/x
  3. Step 3: Cross multiply
    3,816.57x = 5,712.71 × 3,291.69
  4. Step 4: Simplify right side
    3,816.57x = 18,804,453.92
  5. Step 5: Solve for x
    x = 18,804,453.92/3,816.57
  6. Step 6: Final answer
    x = 4,927.06

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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.