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Finding the Fourth Proportional to 4,902.57, 7,355.09 and 1,439.82

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Solution

The fourth proportional to 4,902.57, 7,355.09 and 1,439.82 is: 2,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.57 : 7,355.09 = 1,439.82 : x
  2. Step 2: Convert to fraction form
    4,902.57/7,355.09 = 1,439.82/x
  3. Step 3: Cross multiply
    4,902.57x = 7,355.09 × 1,439.82
  4. Step 4: Simplify right side
    4,902.57x = 10,590,009.28
  5. Step 5: Solve for x
    x = 10,590,009.28/4,902.57
  6. Step 6: Final answer
    x = 2,160.09

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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.