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Finding the Fourth Proportional to 3,541.37, 5,306.16 and 2,499.66

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Solution

The fourth proportional to 3,541.37, 5,306.16 and 2,499.66 is: 3,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.37 : 5,306.16 = 2,499.66 : x
  2. Step 2: Convert to fraction form
    3,541.37/5,306.16 = 2,499.66/x
  3. Step 3: Cross multiply
    3,541.37x = 5,306.16 × 2,499.66
  4. Step 4: Simplify right side
    3,541.37x = 13,263,591.22
  5. Step 5: Solve for x
    x = 13,263,591.22/3,541.37
  6. Step 6: Final answer
    x = 3,745.33

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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.