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Finding the Fourth Proportional to 5,768.65, 8,651.76 and 2,071.09

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Solution

The fourth proportional to 5,768.65, 8,651.76 and 2,071.09 is: 3,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.65 : 8,651.76 = 2,071.09 : x
  2. Step 2: Convert to fraction form
    5,768.65/8,651.76 = 2,071.09/x
  3. Step 3: Cross multiply
    5,768.65x = 8,651.76 × 2,071.09
  4. Step 4: Simplify right side
    5,768.65x = 17,918,573.62
  5. Step 5: Solve for x
    x = 17,918,573.62/5,768.65
  6. Step 6: Final answer
    x = 3,106.20

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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.