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Finding the Fourth Proportional to 5,665.32, 7,817.86 and 3,180.84

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Solution

The fourth proportional to 5,665.32, 7,817.86 and 3,180.84 is: 4,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.32 : 7,817.86 = 3,180.84 : x
  2. Step 2: Convert to fraction form
    5,665.32/7,817.86 = 3,180.84/x
  3. Step 3: Cross multiply
    5,665.32x = 7,817.86 × 3,180.84
  4. Step 4: Simplify right side
    5,665.32x = 24,867,361.80
  5. Step 5: Solve for x
    x = 24,867,361.80/5,665.32
  6. Step 6: Final answer
    x = 4,389.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.