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Finding the Fourth Proportional to 4,706.78, 6,495.16 and 2,819.41

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Solution

The fourth proportional to 4,706.78, 6,495.16 and 2,819.41 is: 3,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.78 : 6,495.16 = 2,819.41 : x
  2. Step 2: Convert to fraction form
    4,706.78/6,495.16 = 2,819.41/x
  3. Step 3: Cross multiply
    4,706.78x = 6,495.16 × 2,819.41
  4. Step 4: Simplify right side
    4,706.78x = 18,312,508.99
  5. Step 5: Solve for x
    x = 18,312,508.99/4,706.78
  6. Step 6: Final answer
    x = 3,890.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.