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Finding the Fourth Proportional to 5,902.42, 8,848.16 and 2,004.09

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Solution

The fourth proportional to 5,902.42, 8,848.16 and 2,004.09 is: 3,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.42 : 8,848.16 = 2,004.09 : x
  2. Step 2: Convert to fraction form
    5,902.42/8,848.16 = 2,004.09/x
  3. Step 3: Cross multiply
    5,902.42x = 8,848.16 × 2,004.09
  4. Step 4: Simplify right side
    5,902.42x = 17,732,508.97
  5. Step 5: Solve for x
    x = 17,732,508.97/5,902.42
  6. Step 6: Final answer
    x = 3,004.28

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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.