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Finding the Fourth Proportional to 5,811.96, 8,718.36 and 2,349.12

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Solution

The fourth proportional to 5,811.96, 8,718.36 and 2,349.12 is: 3,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.96 : 8,718.36 = 2,349.12 : x
  2. Step 2: Convert to fraction form
    5,811.96/8,718.36 = 2,349.12/x
  3. Step 3: Cross multiply
    5,811.96x = 8,718.36 × 2,349.12
  4. Step 4: Simplify right side
    5,811.96x = 20,480,473.84
  5. Step 5: Solve for x
    x = 20,480,473.84/5,811.96
  6. Step 6: Final answer
    x = 3,523.85

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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.