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Finding the Fourth Proportional to 5,321.66, 7,983.51 and 1,811.52

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Solution

The fourth proportional to 5,321.66, 7,983.51 and 1,811.52 is: 2,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.66 : 7,983.51 = 1,811.52 : x
  2. Step 2: Convert to fraction form
    5,321.66/7,983.51 = 1,811.52/x
  3. Step 3: Cross multiply
    5,321.66x = 7,983.51 × 1,811.52
  4. Step 4: Simplify right side
    5,321.66x = 14,462,288.04
  5. Step 5: Solve for x
    x = 14,462,288.04/5,321.66
  6. Step 6: Final answer
    x = 2,717.63

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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.