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Finding the Fourth Proportional to 3,766.50, 5,199.58 and 2,509.66

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Solution

The fourth proportional to 3,766.50, 5,199.58 and 2,509.66 is: 3,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.50 : 5,199.58 = 2,509.66 : x
  2. Step 2: Convert to fraction form
    3,766.50/5,199.58 = 2,509.66/x
  3. Step 3: Cross multiply
    3,766.50x = 5,199.58 × 2,509.66
  4. Step 4: Simplify right side
    3,766.50x = 13,049,177.94
  5. Step 5: Solve for x
    x = 13,049,177.94/3,766.50
  6. Step 6: Final answer
    x = 3,464.54

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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.