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Finding the Fourth Proportional to 5,997.24, 8,991 and 5,068.98

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Solution

The fourth proportional to 5,997.24, 8,991 and 5,068.98 is: 7,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.24 : 8,991 = 5,068.98 : x
  2. Step 2: Convert to fraction form
    5,997.24/8,991 = 5,068.98/x
  3. Step 3: Cross multiply
    5,997.24x = 8,991 × 5,068.98
  4. Step 4: Simplify right side
    5,997.24x = 45,575,199.18
  5. Step 5: Solve for x
    x = 45,575,199.18/5,997.24
  6. Step 6: Final answer
    x = 7,599.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.