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Finding the Fourth Proportional to 5,337.12, 8,004.96 and 1,441.84

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Solution

The fourth proportional to 5,337.12, 8,004.96 and 1,441.84 is: 2,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.12 : 8,004.96 = 1,441.84 : x
  2. Step 2: Convert to fraction form
    5,337.12/8,004.96 = 1,441.84/x
  3. Step 3: Cross multiply
    5,337.12x = 8,004.96 × 1,441.84
  4. Step 4: Simplify right side
    5,337.12x = 11,541,871.53
  5. Step 5: Solve for x
    x = 11,541,871.53/5,337.12
  6. Step 6: Final answer
    x = 2,162.57

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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.