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Finding the Fourth Proportional to 5,766.35, 8,663.36 and 3,690.41

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Solution

The fourth proportional to 5,766.35, 8,663.36 and 3,690.41 is: 5,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.35 : 8,663.36 = 3,690.41 : x
  2. Step 2: Convert to fraction form
    5,766.35/8,663.36 = 3,690.41/x
  3. Step 3: Cross multiply
    5,766.35x = 8,663.36 × 3,690.41
  4. Step 4: Simplify right side
    5,766.35x = 31,971,288.61
  5. Step 5: Solve for x
    x = 31,971,288.61/5,766.35
  6. Step 6: Final answer
    x = 5,544.46

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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.