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Finding the Fourth Proportional to 5,664, 8,494.38 and 2,377.83

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Solution

The fourth proportional to 5,664, 8,494.38 and 2,377.83 is: 3,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664 : 8,494.38 = 2,377.83 : x
  2. Step 2: Convert to fraction form
    5,664/8,494.38 = 2,377.83/x
  3. Step 3: Cross multiply
    5,664x = 8,494.38 × 2,377.83
  4. Step 4: Simplify right side
    5,664x = 20,198,191.60
  5. Step 5: Solve for x
    x = 20,198,191.60/5,664
  6. Step 6: Final answer
    x = 3,566.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.