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Finding the Fourth Proportional to 5,795.74, 8,694.06 and 2,871.10

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Solution

The fourth proportional to 5,795.74, 8,694.06 and 2,871.10 is: 4,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.74 : 8,694.06 = 2,871.10 : x
  2. Step 2: Convert to fraction form
    5,795.74/8,694.06 = 2,871.10/x
  3. Step 3: Cross multiply
    5,795.74x = 8,694.06 × 2,871.10
  4. Step 4: Simplify right side
    5,795.74x = 24,961,515.67
  5. Step 5: Solve for x
    x = 24,961,515.67/5,795.74
  6. Step 6: Final answer
    x = 4,306.87

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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.