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Finding the Fourth Proportional to 5,997.64, 8,997.10 and 1,615.16

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Solution

The fourth proportional to 5,997.64, 8,997.10 and 1,615.16 is: 2,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.64 : 8,997.10 = 1,615.16 : x
  2. Step 2: Convert to fraction form
    5,997.64/8,997.10 = 1,615.16/x
  3. Step 3: Cross multiply
    5,997.64x = 8,997.10 × 1,615.16
  4. Step 4: Simplify right side
    5,997.64x = 14,531,756.04
  5. Step 5: Solve for x
    x = 14,531,756.04/5,997.64
  6. Step 6: Final answer
    x = 2,422.91

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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.