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Finding the Fourth Proportional to 5,997.76, 8,997.28 and 2,534.56

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Solution

The fourth proportional to 5,997.76, 8,997.28 and 2,534.56 is: 3,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.76 : 8,997.28 = 2,534.56 : x
  2. Step 2: Convert to fraction form
    5,997.76/8,997.28 = 2,534.56/x
  3. Step 3: Cross multiply
    5,997.76x = 8,997.28 × 2,534.56
  4. Step 4: Simplify right side
    5,997.76x = 22,804,146.00
  5. Step 5: Solve for x
    x = 22,804,146.00/5,997.76
  6. Step 6: Final answer
    x = 3,802.11

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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.