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Finding the Fourth Proportional to 3,967.48, 5,474.58 and 2,288.50

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Solution

The fourth proportional to 3,967.48, 5,474.58 and 2,288.50 is: 3,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.48 : 5,474.58 = 2,288.50 : x
  2. Step 2: Convert to fraction form
    3,967.48/5,474.58 = 2,288.50/x
  3. Step 3: Cross multiply
    3,967.48x = 5,474.58 × 2,288.50
  4. Step 4: Simplify right side
    3,967.48x = 12,528,576.33
  5. Step 5: Solve for x
    x = 12,528,576.33/3,967.48
  6. Step 6: Final answer
    x = 3,157.82

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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.