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Finding the Fourth Proportional to 5,336.91, 8,005.16 and 1,441.42

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Solution

The fourth proportional to 5,336.91, 8,005.16 and 1,441.42 is: 2,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.91 : 8,005.16 = 1,441.42 : x
  2. Step 2: Convert to fraction form
    5,336.91/8,005.16 = 1,441.42/x
  3. Step 3: Cross multiply
    5,336.91x = 8,005.16 × 1,441.42
  4. Step 4: Simplify right side
    5,336.91x = 11,538,781.32
  5. Step 5: Solve for x
    x = 11,538,781.32/5,336.91
  6. Step 6: Final answer
    x = 2,162.07

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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.