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Finding the Fourth Proportional to 4,864.92, 6,716.04 and 3,800.76

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Solution

The fourth proportional to 4,864.92, 6,716.04 and 3,800.76 is: 5,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.92 : 6,716.04 = 3,800.76 : x
  2. Step 2: Convert to fraction form
    4,864.92/6,716.04 = 3,800.76/x
  3. Step 3: Cross multiply
    4,864.92x = 6,716.04 × 3,800.76
  4. Step 4: Simplify right side
    4,864.92x = 25,526,056.19
  5. Step 5: Solve for x
    x = 25,526,056.19/4,864.92
  6. Step 6: Final answer
    x = 5,246.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.