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Finding the Fourth Proportional to 3,920.80, 5,885.32 and 3,832.64

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Solution

The fourth proportional to 3,920.80, 5,885.32 and 3,832.64 is: 5,752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.80 : 5,885.32 = 3,832.64 : x
  2. Step 2: Convert to fraction form
    3,920.80/5,885.32 = 3,832.64/x
  3. Step 3: Cross multiply
    3,920.80x = 5,885.32 × 3,832.64
  4. Step 4: Simplify right side
    3,920.80x = 22,556,312.84
  5. Step 5: Solve for x
    x = 22,556,312.84/3,920.80
  6. Step 6: Final answer
    x = 5,752.99

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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.