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Finding the Fourth Proportional to 3,902.49, 5,852.49 and 1,304.82

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Solution

The fourth proportional to 3,902.49, 5,852.49 and 1,304.82 is: 1,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.49 : 5,852.49 = 1,304.82 : x
  2. Step 2: Convert to fraction form
    3,902.49/5,852.49 = 1,304.82/x
  3. Step 3: Cross multiply
    3,902.49x = 5,852.49 × 1,304.82
  4. Step 4: Simplify right side
    3,902.49x = 7,636,446.00
  5. Step 5: Solve for x
    x = 7,636,446.00/3,902.49
  6. Step 6: Final answer
    x = 1,956.81

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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.