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Finding the Fourth Proportional to 5,996.64, 8,995.60 and 1,614.16

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Solution

The fourth proportional to 5,996.64, 8,995.60 and 1,614.16 is: 2,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.64 : 8,995.60 = 1,614.16 : x
  2. Step 2: Convert to fraction form
    5,996.64/8,995.60 = 1,614.16/x
  3. Step 3: Cross multiply
    5,996.64x = 8,995.60 × 1,614.16
  4. Step 4: Simplify right side
    5,996.64x = 14,520,337.70
  5. Step 5: Solve for x
    x = 14,520,337.70/5,996.64
  6. Step 6: Final answer
    x = 2,421.41

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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.