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Finding the Fourth Proportional to 4,097.68, 5,654.89 and 2,419.50

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Solution

The fourth proportional to 4,097.68, 5,654.89 and 2,419.50 is: 3,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.68 : 5,654.89 = 2,419.50 : x
  2. Step 2: Convert to fraction form
    4,097.68/5,654.89 = 2,419.50/x
  3. Step 3: Cross multiply
    4,097.68x = 5,654.89 × 2,419.50
  4. Step 4: Simplify right side
    4,097.68x = 13,682,006.36
  5. Step 5: Solve for x
    x = 13,682,006.36/4,097.68
  6. Step 6: Final answer
    x = 3,338.96

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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.