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Finding the Fourth Proportional to 3,967.16, 5,951.64 and 2,117.30

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Solution

The fourth proportional to 3,967.16, 5,951.64 and 2,117.30 is: 3,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.16 : 5,951.64 = 2,117.30 : x
  2. Step 2: Convert to fraction form
    3,967.16/5,951.64 = 2,117.30/x
  3. Step 3: Cross multiply
    3,967.16x = 5,951.64 × 2,117.30
  4. Step 4: Simplify right side
    3,967.16x = 12,601,407.37
  5. Step 5: Solve for x
    x = 12,601,407.37/3,967.16
  6. Step 6: Final answer
    x = 3,176.43

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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.