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Finding the Fourth Proportional to 3,652.66, 5,040.93 and 2,255.50

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Solution

The fourth proportional to 3,652.66, 5,040.93 and 2,255.50 is: 3,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.66 : 5,040.93 = 2,255.50 : x
  2. Step 2: Convert to fraction form
    3,652.66/5,040.93 = 2,255.50/x
  3. Step 3: Cross multiply
    3,652.66x = 5,040.93 × 2,255.50
  4. Step 4: Simplify right side
    3,652.66x = 11,369,817.62
  5. Step 5: Solve for x
    x = 11,369,817.62/3,652.66
  6. Step 6: Final answer
    x = 3,112.75

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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.