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Finding the Fourth Proportional to 5,785.93, 8,676.79 and 2,087.16

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Solution

The fourth proportional to 5,785.93, 8,676.79 and 2,087.16 is: 3,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.93 : 8,676.79 = 2,087.16 : x
  2. Step 2: Convert to fraction form
    5,785.93/8,676.79 = 2,087.16/x
  3. Step 3: Cross multiply
    5,785.93x = 8,676.79 × 2,087.16
  4. Step 4: Simplify right side
    5,785.93x = 18,109,849.02
  5. Step 5: Solve for x
    x = 18,109,849.02/5,785.93
  6. Step 6: Final answer
    x = 3,129.98

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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.