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Finding the Fourth Proportional to 5,782.50, 8,679.99 and 2,866.97

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Solution

The fourth proportional to 5,782.50, 8,679.99 and 2,866.97 is: 4,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.50 : 8,679.99 = 2,866.97 : x
  2. Step 2: Convert to fraction form
    5,782.50/8,679.99 = 2,866.97/x
  3. Step 3: Cross multiply
    5,782.50x = 8,679.99 × 2,866.97
  4. Step 4: Simplify right side
    5,782.50x = 24,885,303.38
  5. Step 5: Solve for x
    x = 24,885,303.38/5,782.50
  6. Step 6: Final answer
    x = 4,303.55

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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.