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Finding the Fourth Proportional to 4,811.84, 7,214.48 and 2,346.24

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Solution

The fourth proportional to 4,811.84, 7,214.48 and 2,346.24 is: 3,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.84 : 7,214.48 = 2,346.24 : x
  2. Step 2: Convert to fraction form
    4,811.84/7,214.48 = 2,346.24/x
  3. Step 3: Cross multiply
    4,811.84x = 7,214.48 × 2,346.24
  4. Step 4: Simplify right side
    4,811.84x = 16,926,901.56
  5. Step 5: Solve for x
    x = 16,926,901.56/4,811.84
  6. Step 6: Final answer
    x = 3,517.76

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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.