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Finding the Fourth Proportional to 5,764.11, 8,647.31 and 2,066.62

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Solution

The fourth proportional to 5,764.11, 8,647.31 and 2,066.62 is: 3,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.11 : 8,647.31 = 2,066.62 : x
  2. Step 2: Convert to fraction form
    5,764.11/8,647.31 = 2,066.62/x
  3. Step 3: Cross multiply
    5,764.11x = 8,647.31 × 2,066.62
  4. Step 4: Simplify right side
    5,764.11x = 17,870,730.58
  5. Step 5: Solve for x
    x = 17,870,730.58/5,764.11
  6. Step 6: Final answer
    x = 3,100.35

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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.