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Finding the Fourth Proportional to 3,483.92, 5,219.79 and 2,902.65

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Solution

The fourth proportional to 3,483.92, 5,219.79 and 2,902.65 is: 4,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.92 : 5,219.79 = 2,902.65 : x
  2. Step 2: Convert to fraction form
    3,483.92/5,219.79 = 2,902.65/x
  3. Step 3: Cross multiply
    3,483.92x = 5,219.79 × 2,902.65
  4. Step 4: Simplify right side
    3,483.92x = 15,151,223.44
  5. Step 5: Solve for x
    x = 15,151,223.44/3,483.92
  6. Step 6: Final answer
    x = 4,348.91

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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.