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Finding the Fourth Proportional to 4,089.84, 5,644.12 and 2,896.98

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Solution

The fourth proportional to 4,089.84, 5,644.12 and 2,896.98 is: 3,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.84 : 5,644.12 = 2,896.98 : x
  2. Step 2: Convert to fraction form
    4,089.84/5,644.12 = 2,896.98/x
  3. Step 3: Cross multiply
    4,089.84x = 5,644.12 × 2,896.98
  4. Step 4: Simplify right side
    4,089.84x = 16,350,902.76
  5. Step 5: Solve for x
    x = 16,350,902.76/4,089.84
  6. Step 6: Final answer
    x = 3,997.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.