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Finding the Fourth Proportional to 5,154.96, 7,724.76 and 4,236.96

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Solution

The fourth proportional to 5,154.96, 7,724.76 and 4,236.96 is: 6,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.96 : 7,724.76 = 4,236.96 : x
  2. Step 2: Convert to fraction form
    5,154.96/7,724.76 = 4,236.96/x
  3. Step 3: Cross multiply
    5,154.96x = 7,724.76 × 4,236.96
  4. Step 4: Simplify right side
    5,154.96x = 32,729,499.13
  5. Step 5: Solve for x
    x = 32,729,499.13/5,154.96
  6. Step 6: Final answer
    x = 6,349.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.