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Finding the Fourth Proportional to 3,819.65, 5,718.54 and 2,348.90

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Solution

The fourth proportional to 3,819.65, 5,718.54 and 2,348.90 is: 3,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.65 : 5,718.54 = 2,348.90 : x
  2. Step 2: Convert to fraction form
    3,819.65/5,718.54 = 2,348.90/x
  3. Step 3: Cross multiply
    3,819.65x = 5,718.54 × 2,348.90
  4. Step 4: Simplify right side
    3,819.65x = 13,432,250.01
  5. Step 5: Solve for x
    x = 13,432,250.01/3,819.65
  6. Step 6: Final answer
    x = 3,516.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.