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Finding the Fourth Proportional to 5,785.48, 7,983.64 and 3,268.11

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Solution

The fourth proportional to 5,785.48, 7,983.64 and 3,268.11 is: 4,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.48 : 7,983.64 = 3,268.11 : x
  2. Step 2: Convert to fraction form
    5,785.48/7,983.64 = 3,268.11/x
  3. Step 3: Cross multiply
    5,785.48x = 7,983.64 × 3,268.11
  4. Step 4: Simplify right side
    5,785.48x = 26,091,373.80
  5. Step 5: Solve for x
    x = 26,091,373.80/5,785.48
  6. Step 6: Final answer
    x = 4,509.80

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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.