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Finding the Fourth Proportional to 5,233.80, 7,856.22 and 3,158.88

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Solution

The fourth proportional to 5,233.80, 7,856.22 and 3,158.88 is: 4,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.80 : 7,856.22 = 3,158.88 : x
  2. Step 2: Convert to fraction form
    5,233.80/7,856.22 = 3,158.88/x
  3. Step 3: Cross multiply
    5,233.80x = 7,856.22 × 3,158.88
  4. Step 4: Simplify right side
    5,233.80x = 24,816,856.23
  5. Step 5: Solve for x
    x = 24,816,856.23/5,233.80
  6. Step 6: Final answer
    x = 4,741.65

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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.