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Finding the Fourth Proportional to 5,853.87, 8,766.23 and 3,655.94

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Solution

The fourth proportional to 5,853.87, 8,766.23 and 3,655.94 is: 5,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.87 : 8,766.23 = 3,655.94 : x
  2. Step 2: Convert to fraction form
    5,853.87/8,766.23 = 3,655.94/x
  3. Step 3: Cross multiply
    5,853.87x = 8,766.23 × 3,655.94
  4. Step 4: Simplify right side
    5,853.87x = 32,048,748.80
  5. Step 5: Solve for x
    x = 32,048,748.80/5,853.87
  6. Step 6: Final answer
    x = 5,474.80

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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.