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Finding the Fourth Proportional to 5,780.57, 8,674.09 and 2,858.90

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Solution

The fourth proportional to 5,780.57, 8,674.09 and 2,858.90 is: 4,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.57 : 8,674.09 = 2,858.90 : x
  2. Step 2: Convert to fraction form
    5,780.57/8,674.09 = 2,858.90/x
  3. Step 3: Cross multiply
    5,780.57x = 8,674.09 × 2,858.90
  4. Step 4: Simplify right side
    5,780.57x = 24,798,305.38
  5. Step 5: Solve for x
    x = 24,798,305.38/5,780.57
  6. Step 6: Final answer
    x = 4,289.94

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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.