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Finding the Fourth Proportional to 5,790.09, 8,682.30 and 2,866.80

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Solution

The fourth proportional to 5,790.09, 8,682.30 and 2,866.80 is: 4,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.09 : 8,682.30 = 2,866.80 : x
  2. Step 2: Convert to fraction form
    5,790.09/8,682.30 = 2,866.80/x
  3. Step 3: Cross multiply
    5,790.09x = 8,682.30 × 2,866.80
  4. Step 4: Simplify right side
    5,790.09x = 24,890,417.64
  5. Step 5: Solve for x
    x = 24,890,417.64/5,790.09
  6. Step 6: Final answer
    x = 4,298.80

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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.