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Finding the Fourth Proportional to 5,764.82, 8,647.03 and 1,869.13

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Solution

The fourth proportional to 5,764.82, 8,647.03 and 1,869.13 is: 2,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.82 : 8,647.03 = 1,869.13 : x
  2. Step 2: Convert to fraction form
    5,764.82/8,647.03 = 1,869.13/x
  3. Step 3: Cross multiply
    5,764.82x = 8,647.03 × 1,869.13
  4. Step 4: Simplify right side
    5,764.82x = 16,162,370.60
  5. Step 5: Solve for x
    x = 16,162,370.60/5,764.82
  6. Step 6: Final answer
    x = 2,803.62

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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.