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Finding the Fourth Proportional to 4,199.73, 5,792.76 and 2,834.88

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Solution

The fourth proportional to 4,199.73, 5,792.76 and 2,834.88 is: 3,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.73 : 5,792.76 = 2,834.88 : x
  2. Step 2: Convert to fraction form
    4,199.73/5,792.76 = 2,834.88/x
  3. Step 3: Cross multiply
    4,199.73x = 5,792.76 × 2,834.88
  4. Step 4: Simplify right side
    4,199.73x = 16,421,779.47
  5. Step 5: Solve for x
    x = 16,421,779.47/4,199.73
  6. Step 6: Final answer
    x = 3,910.20

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1.5x scale

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.